Question

if t4 and t7 of a G.P are 24 and 192. Find the series and sum of the first 10 terms​

Answer 1

Answer:

series:3, 6, 12, 24, 48, 96, 192, 384, 768, 1536

sum: 3069

Step-by-step explanation:

if t4 = 24 => ar³ =24---------(1)

t7 = 192=> ar⁶ = 192-------(2)

Solving the above equations, (2)/(1)

r = 2, a=3

So, the series is

3, 6, 12, 24, 48, 96, 192, 384, 768, 1536

Sum of terms in GP is a(r^n -1)/(r-1)

sum of 10 terms is 3(2¹⁰-1)/(2-1) = 3069