Calculate
S = 10 + 20 + 30 + ........ + 700
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S = 10 + 20 + 30 + ........ + 700
It is an arithmetic progression where:
Difference (d) = 20 - 10 = 10
A₁ = 10
An = 700
N = Number of terms
Formula.
An = a₁ + (n - 1) * d
700 = 10 + (n-1) * 10
700-10 = (n-1) * 10
690 = (n-1) * 10
690/10 = n-1
69 = n-1
69 + 1 = n
70 = n
The progression has 70 terms.
Formula to find the sum of n terms
S = (a₁ + an) * n / 2
S = (10 + 700) * 70/2 Simplify 2
S = (710) * 35
S = 24850
Resolved.
S = 24/850
S = 10 + 20 + 30 + ........ + 700
It is an arithmetic progression where:
Difference (d) = 20 - 10 = 10
A₁ = 10
An = 700
N = Number of terms
Formula.
An = a₁ + (n - 1) * d
700 = 10 + (n-1) * 10
700-10 = (n-1) * 10
690 = (n-1) * 10
690/10 = n-1
69 = n-1
69 + 1 = n
70 = n
The progression has 70 terms.
Formula to find the sum of n terms
S = (a₁ + an) * n / 2
S = (10 + 700) * 70/2 Simplify 2
S = (710) * 35
S = 24850
Resolved.
S = 24/850
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