Question

Identify the value of r and a1 for each geometric
series.
2 + 3 + 4.5+ 6.75 + ...

Answer 1

Answers:

1) 1.5 , 2

2) 0.5 , 8

Step-by-step explanation:

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Answer 2

Given:

The given geometric series is
`2 + 3 + 4.5+ 6.75 + ...`

We need to determine the value of r and a₁

Value of a₁:

The term a₁ denotes the first term of the geometric series.

Hence, from the given series, the first term of the series is 2.

Thus, a₁ = 2.

Therefore, the value of a₁ is 2.

Value of r:

The term r denotes the common ratio between the terms in the geometric series.

The value of r is given by

`r=(3)/(2)=1.5`

`r=(4.5)/(3)=1.5`

`r=(6.75)/(4.5)=1.5`

Thus, the value of r is 1.5