Question

geometric sequence ( 3,5,7...). a) State the first term, a₁ and the common ratio, r (2 marks). b) Find the 8th term in the sequence. (3 marks) c) Find the sum of the 8th terms in the sequence. (3 marks)​

Answer 1

In the G.P. series the first term is 3 and the 8th term is 17 and the common ratio is 1.4.

According to the statement

We have to find the given condition base on the G.P. series.

So, For this purpose, we know that the

Geometric Progression (G.P.) is a geometric sequence where each successive term is the result of multiplying a constant number to its preceding term.

And the

A geometric progression is a special type of progression where the successive terms bear a constant ratio known as a common ratio.

So,

According to the statement

The sequence is 3,5,7...

Here the first term is 3

And the common ration become 1.4.

And the 8th term become

8th term is 17th according to the g.p. series formula.

So, In the G.P. series the first term is 3 and the 8th term is 17 and the common ratio is 1.4.

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