Q2 of 105 Page 155

Find the 10^thand nth term of GP. : 5, 25, 125, …….

First term (a) = 5

Common ratio (r) = =

n^th term in the GP (a_n) = ar^n-1

a_n = 5(5^n-1 = 5ⁿ

10^th term in the GP (a₁₀) = ar^10-1

a₁₀ = 5×5⁹ = 5¹⁰

For each geometric progression find the common ratio ‘r’, and then find a_n

-1, -3, -9, -27….

For each geometric progression find the common ratio ‘r’, and then find a_n

5, 2, …….

Find the indicated term of each geometric Progression

a₁ = 9, r = find a₇

Find the indicated term of each geometric Progression

a₁ = -12, r = find a₆

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 the 10thand nth term of GP. : 5, 25, 125, …….