Question

find the fifth term in the geometric sequence, given the first term and the common ratio. a1=5 and r=-3

a5=?

Answer 1

Answer:

405

Step-by-step explanation:

The nth term of a geometric sequence is given by the formula

$Tn=ar^n^-^1$

Given data

first term  a1=5 and

common ratio r=-3

n= 5

$T5= 5*3^5^-^1\\T5= 5*3^4\\T5=5*81\\T5=405$

The 5th term is 405

Answer 2

Answer:

a) Explicit Formula : aₙ = 3. (-3)ⁿ⁻¹

b) Fifth term : a₅ = 243

Step-by-step explanation:

i did the test