find the sum of ten terms if the A.P 8, 4, 0, -4, -8,......
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Step-by-step explanation:
8, 4, 0,-4,+8,-12,-16,-20,-24,-28,-32,-36,-40,-44,-48,-52,-56,.......
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Answered by
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Given:–
- Arithmetic progression
Here,
- First term (a) = 8
- Common difference (d) = preceding term - initial term = 4-8 = -4
- Number of terms = 10
To find:–
➳ Sum of ten terms
Formula to be used:–
➨ Sum of n terms is given by
n/2 (2a+ (n-1)d)
Calculation :–
Sum will be
n/2 (2a+ (n-1)d)
⟹10/2 ( 2× 8 + (10-1)(-4)
⟹5 ( 16 + (9)(-4)
⟹5(16-36)
⟹5× -10
⟹-50
Answer
-50
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