Question

1+2+3+4+....sum of first 25 natural integers is​

Answer 1

Answer:

325 is the answer

May this help you

Step-by-step explanation:

The number of series 1,2,3,...24,25. therefore,325 Is the sum of positive integers upto 25.

Answer 2

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$\huge \pink {\rm {Given:}}$

$\large \purple {\sf {a ( First \: Term ) = 1}}$

$\large \purple {\sf {d ( Common \: Difference ) = 1}}$

$\large \purple {\sf {n ( no. \: of \:terms ) = 25}}$

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$\huge \pink {\rm {To \: Find:}}$

$\large \purple {\sf {The \: sum \: of \: the \: first \: 25 \: natural }}$

$\large \purple {\sf {numbers.}}$

⠀

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$\huge \pink {\rm {Formula:}}$

$\large \purple {\sf {a_{n} ( Last \: Term )= a+(n-1)d}}$

$\large \purple {\sf { S = \frac{n}{2} ( a + a_{n} )}}$

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$\huge \pink {\rm {Solution:}}$

$\large \purple {\sf {a_{25} = 1 + (25 - 1)1}}$

$\large \purple {\sf {a_{25} = 25}}$

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$\large \purple {\sf {S = \frac{25}{2} (1 + 25)}}$

$\large \purple {\sf {S = 325}}$

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$\huge \pink {\rm {Answer:}}$

$\large \purple {\sf {The \: sum \: of \: the \: first \: 25 \: natural}}$

$\large \purple {\sf { numbers \: is \:325.}}$