Question

if the 11th term of a GP is 2048 and 16th term is 65536, find its 7th term.​

Answer 1

Answer:

hy probably this gives uh an idea

Step-by-step explanation:

solution : let first 11 terms in geometric progression are ; a/r^5, a/r^4, a/r^3, a/r^2, a/r, a , ar, ar^2, a^3, ar^4, ar^5.

a/c to question,

product of 11 terms = 2048

⇒ (a/r^5 × a/r^4 × a/r^3 × a/r^2 × a/r × a × ar × ar^2 × ar^3 × ar^4 × ar^5) = 2048

⇒ a¹¹ = 2048 = (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 )

⇒a¹¹ = 2¹¹

⇒ a = 2

now see series here 6th term is a.

so, 6th term of given geometric progression , a = 2.

and 7th term is  of the given progression is  just substitute the value