Summing areas
Can Someone help me this question please totally lost
(i) For n an arbitrary positive integer, find a formula for 1 + 2 + 3 + · · · + n by summing the identity
(m + 1)2 − m2 = 2m + 1
from m = 1 to n.
(ii) Using your result from part (i) together with the identity
(m + 1)3 − m3 = 3m2 + 3m + 1 ,
find a formula for the sum 12 + 22 + 32 + · · · + n2 .
(i) For n an arbitrary positive integer, find a formula for 1 + 2 + 3 + · · · + n by summing the identity
(m + 1)2 − m2 = 2m + 1
from m = 1 to n.
(ii) Using your result from part (i) together with the identity
(m + 1)3 − m3 = 3m2 + 3m + 1 ,
find a formula for the sum 12 + 22 + 32 + · · · + n2 .
Do you know what a telescoping series is?
Original post by DFranklin
Do you know what a telescoping series is?
No I don't can you elaborate please DFranklin
Quick Reply
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