Question

Find the 14th term of the following geometric sequence. 5, 15, 45, 135, ...

Answer 1

Answer:

7,971,615

Step-by-step explanation:

A geometric sequence is one in which the successive terms show a regular pattern of change defined by a common ratio i.e the division of the successive term with the previous term gives a constant known as the common ratio.

Where r is the common ratio, a is the first term and n is the number of term, the nth term Tn of a geometric sequence may be defined as

Tn = ar^(n-1)

where a = 5, r = 15/5 = 3

then T14 = 5 * 3(14 - 1)

= 7,971,615