The ratio of the fourth to the first term of a G.P is 1/8. If the first term exceeds the second term by 5. Find the first and the 8th term

Question

asked Jun 20, 2024 99.1k views

1 Answer

IAmNotARobot · Answer 1 · 2024-06-25T15:41:08+0000

Answer:

HI,

10, 5/64

Explanation:

Let's assume a the first term and r the ratio.

The ratio of the fourth to the first term of a G.P is 1/8:

$(a*r^3x)/(a) =(1)/(8) \\\\r=(1)/(2) \\$

the first term exceeds the second term by 5:

$a=a*r+5\\a(1-r)=5\\a*(1)/(2) =5\\\\a=10\\$

First term is 10.

$a_8=a*r^7=10*{((1)/(2)) }^7=(10)/(128) =(5)/(64)$