Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Answer 1

Answer: 213

Step-by-step explanation:

Given :

$3 , 9 , 15 , ...$

The difference between the first term and the second term is 6 and the difference between the third term and the second term is 6 , this means that the sequence is an Arithmetic sequence.

The formula for calculating the nth term of an arithmetic sequence is given as :

$t_{n}$ = $a + (n-1)d$

where :

a = first term

n = number of terms

d = common difference

Therefore , the 36th term will be :

$t_{36}$ = $3 + (36-1)(6)$

$t_{36}$ = $3 + 35(6)$

$t_{36}$ = $3 + 210$

$t_{36}$ = $213$

Therefore : the 36th term = 213