In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1
is the first term and d is the common difference. similarly, in a geometric sequence, the nth term is given by an=a1•rn−1.
here r is the common ratio. use these formulas to determine the indicated term in the given sequence.
the 30th term of 1, 4, 7, 10

88

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term is given by the formula

Where

d=Common difference

In an geometric sequence, the nth term is given by

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

Hence, the 30th term of sequence is 88.

step-by-step explanation:

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