Q2 of 202 Page 9

Write the arithmetic progression when first term a and common difference of d are as follows:

(i)


(ii)


(iii)

(i)


a1= 4, d= -3


A2= a1+ d = 4-3 =1


A3= a1+ 2d = 4+ 2(-3) = 4-6 = -2


A4= a1 =3d = 4+ 3(-3) = 4-9 = -5


Series = 4, 1, -2, -5,…


(ii)


a1= -1, d =


A2= a1 + d = -1 + =


A3= a1 + 2d = -1 + 1 = 0


A4= a1 + 3d = -1 + =


Series = -1, , 0, ,…


(iii)


a1= -1.5, d= -0.5


A2= a1+ d = -1.5 – 0.5 = -2


A3= a1+ 2d = -1.5 + 2(-0.5) = -1.5 – 1 = -2.5


A4= a1+ 3d = -1.5 + 3(-0.5) = -1.5 – 1.5 = -3


Series =


More from this chapter

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3

Find the next five terms of each of the following sequences given by:

(i)


(ii)


(iii)


(iv)

1

For the following arithmetic progressions write the first term a and the common difference d :

(i)


(ii)


(iii)


(iv)

 3

In which of the following situation, the sequence of numbers formed will form an A.P.?

(i) The cost of digging a well for the first metre is Rs. 150 and rises by Rs.20 for each succeeding metre.


(ii)The mount of air present in the cylinder when a vacuum pump removes each time of their remaining in the cylinder.

 4

Show that the sequence defined byis an A.P., find its common difference.