The sum of first four terms of the G.P. 2, 6, 18, ………, is :
26
80
160
52
AP GP
31 Likes

Question

The sum of first four terms of the G.P. 2, 6, 18, ........., is : 1. 26 2. 80 3. 160 4. 52

KnowledgeBoat · Accepted Answer

By formula, Common ratio = r = = 3. By formula, ⇒ a_n = ar^{n - 1} ⇒ a₄ = 2 × (3)^{4 - 1} ⇒ a₄ = 2 × 3³ ⇒ a₄ = 2 × 27 = 54. Sum of first four terms of G.P. = 2 + 6 + 18 + 54 = 80. Hence, Option 2 is the correct option.

Mathematics

The sum of first four terms of the G.P. 2, 6, 18, ………, is :
26
80
160
52

AP GP

Related Questions

If a, b and c are in A.P. and also in G.P., show that : a = b = c.

8, x and 32 are in G.P., then the value of x is :
24
256
40
16