What is the sum of the first 10 terms of the sequence defined by an=3n-3?

The sum of first 10 terms of the sequence defined by is 135.

Step-by-step explanation:

Given : nth term of a sequence as

We have to find the sum of first 10 terms of the sequence.

Consider the nth term of a sequence as

Then put n = 1  to get the first term

put n = 2 to get the next term

put n = 3 to get the next term

put n = 4 to get the next term

Thus, the sequence is of the form 0, 3, 6, 9,.....

Thus, the above is an arithmetic sequence with a = 0 and common difference (d) = 3

Thus, Sum of 10 terms is given by

n = 10 , a = 0 , d = 3

Put we get,

Simplify, we have,

Thus, the sum of first 10 terms of the sequence defined by is 135.

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step-by-step explanation: