Question

1 व 350 यांमधील सर्व सम संख्यांची बेरीज काढा.

Answer 1

1 व 350 यांमधील सर्व सम संख्यांची बेरीज काढा.

$S_n = \frac{n}{2} (a + l)$
1 व 350 यांमधील सर्व सम संख्यांची:2,4,6...350

a=2

d=2

$350 = a + (n - 1)d \\ \\ 350 = 2 + (n - 1)2 \\ \\ \frac{348}{2} = n - 1 \\ \\ 174 = n - 1 \\ \\ n = 175$
$S_n = \frac{175}{2} (2 + 350) \\ \\ S_n = \frac{175 \times 352}{2} \\ \\ S_n = 175 \times 176 \\ \\ = 30800$
1 व 350 यांमधील सर्व सम संख्यांची बेरीज 30800

Answer 2

Given :  all even numbers between 1 and 350

1 व 350 यांमधील सर्व सम संख्यां

To Find : Sum

बेरीज  

Solution:

even numbers between 1 and 350

2 , 4 , 6 ________________, 346 , 348

2 + 4 + 6 +  ____________ + 346 + 348

= 2( 1 + 2 + 3 + __________ + 173 + 174)

∑n = n(n + 1)/2

= 2 (174)(175)/2

= (174)(175)

= 30,450

1 व 350 यांमधील सर्व सम संख्यांची बेरीज = 30,450

Sum of all even number between 1 and 350 = 30,450

if 350 is also included then 30450 + 350 = 30800

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