Exercise 2:
1 answer:
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Answer:
The sum of first 30 terms of the arithmetic progression is <u>2160.</u>
Explanation:
For an arithmetic progression, the sum of first terms with first term as
and common difference
is given as:
Now, it is given that:
Now, plug in these values and frame two equations in
Now, we solve equations (1) and (2) for . Subtract equation (1) from equation (2). This gives,
Now, plug in the value of in equation (1) and solve for
.
Plug in the values of in the sum formula to find the sum of first 30 terms.
Now, the sum of first 30 terms is given as:
Therefore, the sum of first 30 terms of the arithmetic progression is 2160.