Find the sum: (-5) + (-8) + (-11) + dots + (- | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The given series is an Arithmetic Progression $(AP)$ where the first term $a = -5$ and the common difference $d = (-8) - (-5) = -3$.The last term

Vedclass · Accepted Answer

$-8930$

Vedclass · Answer

(C) The given series is an Arithmetic Progression $(AP)$ where the first term $a = -5$ and the common difference $d = (-8) - (-5) = -3$.The last term $l$ or $a_n = -230$.Using the formula for the $n^{th}$ term of an $AP$: $a_n = a + (n - 1)d$.$-230 = -5 + (n - 1)(-3)$.$-230 + 5 = (n - 1)(-3)$.$-225 = (n - 1)(-3)$.$n - 1 = \frac{-225}{-3} = 75$.$n = 76$.Now,using the sum formula $S_n = \frac{n}{2}(a + l)$:$S_{76} = \frac{76}{2}(-5 + (-230))$.$S_{76} = 38 	imes (-235)$.$S_{76} = -8930$.

Find the sum: $(-5) + (-8) + (-11) + \dots + (-230)$.

Similar Questions

If $a=2$ and $d=4,$ then $S_{40}=\ldots \ldots \ldots$

In an $AP$,if $d = -4$,$n = 7$,and $a_{n} = 4$,then $a$ is

The sum of the first $n$ terms of an $A.P.$ is given by $S_n = 3n^2 + 5n$. Then,the $n^{th}$ term of the $A.P.$ $T_n = \ldots$

Which term of the $A.P.$ $34, 27, 20, 13, \ldots$ is $-519$ (in $^{th}$)?

The difference between two consecutive terms of an $A.P.$ is denoted by.........

Vedclass Test Series

Exam Paper Generator

Online Exam Module