Question

what is the sum of the first 30 natural number? 46​

Answer 1

Answer:

the sum of first 30 natural number is 465

Answer 2

$\underline{\boxed{\bold{Question}}}$  

↠ What is the sum of the first 30 natural number?

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$\underline{\boxed{\bold{Important\;Information}}}$  

❏ A.P. is a sequence whose terms differ by a fixed number. This fixed number is called the common difference.

❏ If a is the first term & d the common difference, then A.P. can be written as  :

❏ a, a + d, a + 2d, .............., a + (n – 1) d , ..........

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$\underline{\boxed{\bold{Important \; Formulas}}}$

$\boxed {\bold {\red{:\leadsto\; S_n = \frac{n}{2} \{2a + (n-1)\} }}}$

$\boxed {\bold {\blue{:\leadsto\; A_n = a + (n-1)d }}}$

$\boxed {\bold {\green{:\leadsto\; S_n = \frac{n}{2} \{First \; term + Last \; term\} }}}$

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$\underline{\boxed{\bold{Answer}}}$

Let's Start  

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Let's use second formula to solve this problem !

$:\implies \; S_n = \frac{n}{2} \{First \; term + Last \; term\}$

$:\implies \; S_{30} = \frac{30}{2} \{1 + 30\}$

$:\implies \; S_{30} = 15 \times 31$

$\boxed{\bold{\pink{:\implies \; S_{30} = 465 }}}$

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$\boxed{\boxed{\bold{\purple{\therefore Sum\; of \; First \; 30 \; natural \; number = 465}}}}$

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Hope this helps u.../

【Brainly Advisor】