Find sn for the arithmetic series 4+7+10 + … and determine the value of n for which the series has sum 175.

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

(Answer)

Now, given and we have to find the value of n.

So,

⇒ 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)

look a the sides they are perpendicular

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2