Solve this Q 135 If a1 , a2, a3 , is an arithmetic - Maths - Arithmetic Progressions

Question

Solve this
Q 135 If a1 , a2, a3 , is an
arithmetic progression with common difference 1 and ∑
i = 1 98   a 1  = 137, then the value of
a2 + a4 + a6 + + a98
is
(1) 67
(2) 83
(3) 93
(4) 98

Lovina Kansal · Accepted Answer

Dear student
We have,a1,a2,a3, a98 in an A
P with common difference 1and ∑ai =137i=198Since from 1 to 98 there are 49 odd numbers, each 1 less than the following even termSo, 2a2+a4+
+a98-49=137⇒2a2+a4+ +a98=186⇒a2+a4+ +a98=93
Regards

Solve this. Q.135. If a1 , a2, a3 , .... is an arithmetic progression with common difference 1 and ∑ i = 1 98 a 1 = 137, then the value of a2 + a4 + a6 + ......+ a98 is (1) 67 (2) 83 (3) 93 (4) 98

Solve this.
Q.135. If a₁ , a₂, a₃ , .... is an arithmetic progression with common difference 1 and $\sum_{i = 1}^{98} a_{1} = 137,$ then the value of a₂ + a₄ + a₆ + ......+ a₉₈ is
(1) 67
(2) 83
(3) 93
(4) 98