Find the sum of all numbers 36,42,48.... .90,96=? a. 308
b. 726
c. 580
d.480
Answers
Answer:
308 is your correct answer
Step-by-step explanation:
Given : 36,42,48.. 90, 96
To Find : sum of all numbers
Solution:
Arithmetic sequence : Sequence of terms in which difference between one term and the next is a constant.
This is also called Arithmetic Progression AP
Arithmetic sequence can be represented in the form :
a, a + d , a + 2d , …………………………, a + (n-1)d
a = First term
d = common difference = aₙ-aₙ₋₁
nth term = 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)
Sum = (11/2)(36 + 96)
= 11( 66)
= 726
Hence sum of all the numbers is 726
correct option is b
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