if the nth term of progression (4n-10) then the common difference
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Answer:
Common difference is 4
Step-by-step explanation:
given : a(n) = 4n - 10
common difference = a(n+1) - a(n)
a(n+1) = 4(n+1) - 10 = 4n + 4 - 10 = 4n - 6
d = (4n-6) - (4n-10) = 4n - 6 - 4n + 10 = 10 - 6 = 4
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4
explanation:
Given n
th
term of AP is 4n−10
Putting n=1,2,3,4,....., we get
At n=1:4n−10=4×1−10=4−10=−6
At n=2:4n−10=4×2−10=8−10=−2
At n=3:4n−10=4×3−10=12−10=2
At n=1:4n−10=4×4−10=16−10=6
We see that −6,−2,2,6,... are in AP as common difference is same.
Common difference =−2−(−6)=4.
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