Question

36 + 42 + 48+ ... + 90 + 96 का मान
बताइए।
(a) 726
(b) 812
(c) 784
(d) 896​

Answer 1

Step-by-step explanation:

36 + 42 + 48+ ... + 90 + 96 का मान

बताइए।

(a) 726

(b) 812

(c) 784

(d) 896

Answer 2

Given :  36 + 42 + 48+ ... + 90 + 96

To Find :  मान

(a) 726

(b) 812

(c) 784

(d) 896​

Solution:

a, a + d  , a + 2d , …………………………, a + (n-1)d

a = प्रथम पद

d = बराबर अंतर = aₙ-aₙ₋₁

nth पद =  aₙ =  a + (n-1)d

36,42,48..      90, 96

a = 36

d = 6

96 = 36 + (n - 1) 6

=> 10 = n - 1

=> n = 11

Sₙ = (n/2)(a₁ + aₙ)

योग   = (11/2)(36 + 96)

= 11( 66)

= 726

36 + 42 + 48+ ... + 90 + 96 का मान 726

सही विकल्प  b

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