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chels4278
05.05.2021 •
Mathematics
The set of all counting numbers between 9 and 13. Brainliest for right answer
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Ответ:
n = 10
Step-by-step explanation:
The given arithmetic series is 4 + 7 + 10 + .......... up to n terms.
Now, we know that the sum of first n terms of an A.P. with first term a and the common difference d is given by
So, in our case the first term a = 4 and the common difference is d = 3, hence the sum of first n terms will be
Now, given
and we have to find the value of n.
So,![\frac{n}{2}[3n + 5] = 175](/tpl/images/0463/1856/0c6a3.png)
⇒ 3n² + 5n = 350
⇒ 3n² + 5n - 350 = 0
⇒ 3n² + 35n - 30n - 350 = 0
⇒ (n + 35)(3n - 30) = 0
⇒ n = 10 {Since n can not be negative} (Answer)