what is the sum of 1 to 20 numbers and explanation
Answers
210 is sum of 1 to 20 numbers
Given : 1 to 20 numbers
To Find : Sum
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
Sₙ = (n/2)(2a + (n - 1)d)
Sum of Arithmetic sequence (AP) is called Arithmetic series
Numbers from 1 to 20 are in AP with common difference = 1
a = 1
d = 1
n = 20
Sₙ = (n/2)(2a + (n - 1)d)
= (20/2)(2 * 1 + (20 - 1) * 1)
= 10 ( 2 + 19)
= 10 (21)
= 210
sum of 1 to 20 numbers = 210
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Answer:
210
Step-by-step explanation:
this is beacuse we add all the numbres given
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