Math, asked by thomasphilipt7426, 1 year ago

What is the sum of this series?



1, 3, 5, 7, 9, ...... 99?

Answers

Answered by Anonymous
28
Given series is an A. P because the common difference is 2. ( 3 - 1 =2, 5 - 3 = 2 )

First term, a = 1, C. D = 2.

An or l ( last term ) = 99.

An = a + ( n - 1 ) d

99 = 1 + ( n - 1) 2

99 - 1 = 2n - 2

98 +2 = 2n

100 =2n

n = 100 /2 = 50

For sum of the series,

=> Sn = n ( l + d ) / 2

S( 50 ) = 50 ( 99 +2 ) / 2

S ( 50 ) = 25 × 101

S ( 50 ) = 2525.
Answered by 662015
10

Answer:

Step-by-step explanation:

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