Q2 of 202 Page 10

Find the indicated terms in each of the following sequences whose nth terms are:

(i)


(ii)


(iii)


(iv)


(v)

(i)


Put n = 12


A12= 5(12) – 4


= 60-4 = 56


Put n = 15


A15= 5(15) – 4


= 75-4 = 71


(ii)


Put n = 7


A7= = =


Put n = 8


A8= = =


(iii)


Put n = 5


A5= 5(5-1) (5-2)


= 5(4)(3) = 60


Put n = 8


A8= 8(8-1) (8-2)


= 8(7)(6) = 336


(iv)


Put n = 1


A1= 1(1-1) (2-1) (2-2) (3+2)


= 0


Put n = 2


A2= 2(2-1) (2-2) (3+2)


= 0


Put n = 3


A3= 3(3-1) (2-3) (3+3)


= 3 (2) (-1) (6)


= 36


(v)


Put n = 3


A3= (-1)3 (3) = -3


Put n = 5


A5= (-1)5 (5) = -5


Put n = 8


A8= (-1)8 (8) = 8


More from this chapter

All 202 →
1

Write the first five terms of each of the following sequences whose nth terms are :

(i)


(ii)


(iii)


(iv)


(v)


(vi)


(vii)


(viii)


(ix)

 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)

 2

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

(i)


(ii)


(iii)