For an A.P.,the first term is 10 and the 10^{ | vedclass

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

Question

(D) Given that for an $A.P.$,the first term $a = 10$ and the $10^{th}$ term $a_{10} = 100$.We need to find the sum of the first $10$ terms,denoted by

Vedclass · Accepted Answer

$550$

Vedclass · Answer

(D) Given that for an $A.P.$,the first term $a = 10$ and the $10^{th}$ term $a_{10} = 100$.We need to find the sum of the first $10$ terms,denoted by $S_{10}$.The formula for the sum of the first $n$ terms of an $A.P.$ when the first and last terms are known is given by:$S_n = \frac{n}{2} (a + a_n)$Here,$n = 10$,$a = 10$,and $a_{10} = 100$.Substituting these values into the formula:$S_{10} = \frac{10}{2} (10 + 100)$$S_{10} = 5 	imes 110$$S_{10} = 550$Thus,the sum of the first $10$ terms is $550$.

For an $A.P.$,the first term is $10$ and the $10^{th}$ term is $100$. Then,the sum of the first $10$ terms is..........

Similar Questions

$1, 1, 2, 3, 5, 8, 13, 21, 34, \ldots$ is $\ldots \ldots \ldots \ldots . .$

Determine $k$ so that $k^{2}+4k+8, 2k^{2}+3k+6, 3k^{2}+4k+4$ are three consecutive terms of an $AP$.

Find the sum of all the $11$ terms of an $AP$ whose middle most term is $30$.

Find the sum of the multiples of $3$ lying between $250$ and $1000$.

Which term of the $A.P. \, 53, 48, 43, \ldots$ is the first negative term?

Vedclass Test Series

Exam Paper Generator

Online Exam Module