Find The Sum Of First 20 Terms Of Arithmetic Sequence -16,-20,-24,.........20 Terms

Find the sum of first 20 terms of arithmetic sequence -16,-20,-24,.........20 terms

 

Answer:

The sum of the first 20 terms is -680.

Step-by-step explanation:

Sum of the arithmetic sequence:

Sn = n/2 2(a₁) + (n-1)(d)

Where:

Sn = sum of the sequence

n = number of terms  ⇒ 20

a₁ = first term  ⇒ -16

d = common difference  ⇒ - 4

To find the common difference, d:

-20 - (-16) = -24 - (-20)

-20 + 16 = - 24 + 20

-4 = -4

Find the sum of the arithmetic sequence:

Sn = n/2 2(a₁) + (n-1)(d)

S₂₀ = 20/2 2(-16) + (20-1)(-4)

S₂₀ = 10 -32 + (9)(-4)

S₂₀ = 10 -32 - 36

S₂₀ = 10 (-68)

S₂₀ = -680


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