Question

An = 5 × an-1 and a1 = 3.What is a5Enter your answer in the box.A5 =​

Answer 1

Answer:

$A_{5} = 1875$

Step-by-step explanation:

The geometric sequence is represented by

$A_{n} = 5 \times A_{n - 1}$ .......... (1) and $A_{1} = 3$

So, $A_{2} = 5 \times A_{2 - 1} = 5 \times A_{1} = 5 \times 3 = 15$

{Putting n = 2}

Again, putting n = 3 in equation (1), we get

$A_{3} = 5 \times A_{2} = 5 \times 15 = 75$

Again, putting n = 4 in equation (1), we get

$A_{4} = 5 \times A_{3} = 5 \times 75 = 375$

Again, putting n = 5 in equation (1), we get

$A_{5} = 5 \times A_{4} = 5 \times 375 = 1875$ (Answer)