Q2 of 105 Page 139

Find the
30^thterm of the A.P. 10, 7, 4 ……

Given

First term (a) = 10

Common difference (d) = 2^nd – 1^st terms

d = 7 – 10 = -3

we need to find the 30^th term

we know that a_n = a + (n-1)d

so n = 30

a₃₀ = 10 + (30-1) (-3)

a₃₀ = -77

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.

√3, √6, √9, √12

Fill in the blanks in the following table, given that a is the first term, d the common difference and the nth term of the AP:

Find the

11^thterm of the A.P. : -3, , 2, …

Find the respective terms for the following APs.

a₁ = 2, a₃ = 26, find a₂

Questions · 105

6. Progressions

1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 1 2 2 3 3 3 3 3 4 5 5 6 7 8 9 10 11 12 13 14 15 16 17 1 1 1 1 2 2 2 3 3 3 3 3 3 3 4 5 6 7 7 8 9 10 11 12 13 14 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 4 1 1 1 1 2 3 3 4 4 4 5 6 7

Find the30thterm of the A.P. 10, 7, 4 ……