(a) A sequence is formed by adding corresponding terms of an A.P and a G.P. The first, second and third terms of the sequence formed...

      

(a) A sequence is formed by adding corresponding terms of an A.P and a G.P. The first, second and third terms of the sequence formed after adding the first three terms of the sequences are 14,34 and 78 respectively. Given that the first term of the A.P is a and the first term of the G.P is b, and that the common ratio of the G.P is 3; Find the first term of the AP and G.P and the common difference of the A.P

(b)The second and third terms of a geometric progression are 24 and 12(x+1) respectively. Given that the sum of the first three terms of the progression is 76, find the whole number value of x and hence the first term

  

Answers

---

---

maurice.mutuku answered the question on November 8, 2019 at 07:45

Next: The points A¹B¹ and C¹ are the images of A(4,1), B(0,-2) and C(-2,4)
Previous: The cash price of a camera is Sh.42,200. Joseph bought the camera on hire purchase (H.P) term by paying a deposit of Sh.7,200 and cleared...

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• The points A¹B¹ and C¹ are the images of A(4,1), B(0,-2) and C(-2,4)(Solved)
  

  (a) The points A¹B¹ and C¹ are the images of A(4,1), B(0,-2) and C(-2,4) respectively under transformation represented by the matrix M= write down the coordinates of A¹B¹C¹
  
  (b) A¹¹B¹¹C¹¹ are the images of A¹B¹C¹ under another transformation whose matrix is write down the coordinates of A¹¹B¹¹C¹¹
  
  (c) Transformation m followed by N can be represented by a single transformation P. Determine the
  matrix for P
  
  (d) Another transformation has the matrix T =
  Determine the matrix for transformation m followed by N and T in that order

  Date posted: November 8, 2019.  Answers (1)

• The diagram below shows a square based pyramid V vertices above the middle of the base. PQ=10cm and VR=13cm M is the midpoint of VR(Solved)
  

  The diagram below shows a square based pyramid V vertices above the middle of the base. PQ=10cm and VR=13cm M is the midpoint of VR
  
  Find
  (a)(i) the length PR
  (ii) the height of the pyramid
  
  (b)(i) the angle between VR and the base PQRS
  (ii) the angle between PM and the base PQRS
  (iii) the angle between the planes QVR and PQRS

  Date posted: November 8, 2019.  Answers (1)

• Given that OA= -i +j, OB=3i+5j and OC= 11i+13j. Show that A, B and C are collinear.(Solved)
  

  Given that OA= -i +j, OB=3i+5j and OC= 11i+13j. Show that A, B and C are collinear.

  Date posted: November 8, 2019.  Answers (1)

• Three towns X,Y and Z are such that Y is 50km South of X and Z is on a bearing of 300^o from Y. Calculate...(Solved)
  

  Three towns X,Y and Z are such that Y is 50km South of X and Z is on a bearing of 300^o from Y. Calculate the angle XZY given that XZ is 70km.

  Date posted: November 8, 2019.  Answers (1)

• A transformation matrix maps an object of area 21cm² to an image of area 42cm². Determine the value of p.(Solved)
  

  A transformation matrix maps an object of area 21cm² to an image of area 42cm². Determine the value of p.

  Date posted: November 8, 2019.  Answers (1)

• The points P and Q are 7.4cm apart. By construction locate the locus R such that PR=2.5cm and angle PRQ=90^o.(Solved)
  

  The points P and Q are 7.4cm apart. By construction locate the locus R such that PR=2.5cm and angle PRQ=90^o.

  Date posted: November 8, 2019.  Answers (1)

• Find the radius and the coordinates of the centre of the circle whose equation is 2x² + 2y² – 3x +2y + 1/2 = 0(Solved)
  

  Find the radius and the coordinates of the centre of the circle whose equation is
  2x² + 2y² – 3x +2y + 1/2 = 0

  Date posted: November 8, 2019.  Answers (1)

• A bag contains 2 white balls and 3 black balls. A second bag contained 3 white balls and 2 black balls. The balls are identical...(Solved)
  

  A bag contains 2 white balls and 3 black balls. A second bag contained 3 white balls and 2 black balls. The balls are identical except for the colours. Two balls are drawn at random, one after the other from the first bag and placed in the second bag. Calculate the probability that the two balls are both white.

  Date posted: November 8, 2019.  Answers (1)

• A circle whose equation is x²+y²+4x-10y+4=0 touches a straight line (-7,3). Find the equation of the line(Solved)
  

  A circle whose equation is x²+y²+4x-10y+4=0 touches a straight line (-7,3). Find the equation of the line

  Date posted: November 8, 2019.  Answers (1)

• Find the value of x given that the matrix is a singular matrix.(Solved)
  

  Find the value of x given that the matrix is a singular matrix.
  

  Date posted: November 8, 2019.  Answers (1)

• Solve for x in the equation. 2sin²x-1 = cos² x + sin x, where O^O = x = 360^o.(Solved)
  

  Solve for x in the equation.
  2sin²x-1 = cos² x + sin x, where O^O ≤ x ≤ 360^o.

  Date posted: November 8, 2019.  Answers (1)

• Find the values of a and b where a and b are irrational numbers(Solved)
  

  If, ,find the values of a and b where a and b are irrational numbers

  Date posted: November 8, 2019.  Answers (1)

• The dimensions of a rectangle are 40cm and 45cm. If there is an error of 5% in the length and 8% in the width. Find...(Solved)
  

  The dimensions of a rectangle are 40cm and 45cm. If there is an error of 5% in the length and 8% in the width. Find the percentage error I calculating the area of the rectangle.

  Date posted: November 8, 2019.  Answers (1)

• Use logarithms correct to 4 decimal places to evaluate.(Solved)
  

  Use logarithms correct to 4 decimal places to evaluate.
  

  Date posted: November 8, 2019.  Answers (1)

• Given that x=2i+j-2k, y=-3i+4j-k, and z=-5i+3j+2k and p=3x-y+2z, calculate the magnitude of p correct to 3 significant figures(Solved)
  

  Given that x=2i+j-2k, y=-3i+4j-k, and z=-5i+3j+2k and p=3x-y+2z, calculate the magnitude of p correct to 3 significant figures

  Date posted: November 8, 2019.  Answers (1)

• a) Using the trapezium rule with seven ordinates estimate the area of the region bounded by the curve y= - x² + 6x +1, the line...(Solved)
  

  a) Using the trapezium rule with seven ordinates estimate the area of the region bounded by the
  curve y= - x² + 6x +1, the line x=0,y=0 and x=6.
  b) Calculate:
  i) The area of the region in (a) above by integration.
  ii) The percentage error of the estimated area to the actual area of the region, correct to 2d.p.

  Date posted: November 8, 2019.  Answers (1)

• In the diagram, below LX = SLN ON = a OL = b, LX = SLN, OM = 3a and MK = 2b. a) Calculate: i) LN in...(Solved)
  

  In the diagram, below LX = SLN
  ON = a OL = b, LX = SLN, OM = 3a and MK = 2b.
  
  a) Calculate:
  i) LN in terms of a and b.
  ii) OK in terms of a and b.
  b) i) Show that OX = sa + (1 - s) b where s is a scalar.
  ii) Given also that OX = r OK, find the value of r and s.
  iii) Determine the ratio OX: XK.

  Date posted: November 8, 2019.  Answers (1)

• Find the relative error in the area of a parallelogram whose base is 8cm and height 5.0cm(Solved)
  

  Find the relative error in the area of a parallelogram whose base is 8cm and height 5.0cm

  Date posted: November 8, 2019.  Answers (1)

• Using a ruler and pair of compasses only. a) Construct triangle ABC such that AB=6.3cm, BC = 7.2cm and angle ABC=60^O. b) Measure the length AC. c)...(Solved)
  

  Using a ruler and pair of compasses only.
  a) Construct triangle ABC such that AB=6.3cm, BC = 7.2cm and angle ABC=60^O.
  b) Measure the length AC.
  c) Draw a circle that touches the vertices A, B and C.
  d) Measure the radius of the circle.
  e) Hence, calculate the area of the circle outside the triangle correct to one decimal place.

  Date posted: November 8, 2019.  Answers (1)

• The figure below shows a solid structure in the shape of a frustum of a cone with a hemispherical bottom. The radius of the hemispherical...(Solved)
  

  The figure below shows a solid structure in the shape of a frustum of a cone with a hemispherical bottom. The radius of the hemispherical part is 28cm and is equal to the radius of the bottom of the frustum. The frustum has a top radius of 16cm and a height of 12cm. (Use Π=22/7.)
  
  a) Calculate to 2d.p.
  i) The volume of the frustum.
  ii) The volume of the solid.
  b) Given that the solid has a mass of 20kg. Find its density in g/cm³.

  Date posted: November 8, 2019.  Answers (1)