Sequence and series help!!!

Can anyone evaluate this FM series question 7*9+9*16+11*25+.......+61*900???

So basically the sum from N =1 to N =28 of (2n plus 5)(n plus 2)^2.
Expand and simplify and use standard results to solve the series.

(edited 5 years ago)

Why the sum is from N=1 to N=28? That's what my confusion is. I already found the general term.

Because 61 = 2 x 28 + 5
And 900 = (28 + 2)^2

Original post by asifmahmoud

Can anyone evaluate this FM series question 7*9+9*16+11*25+.......+61*900???

Can you notice a pattern first of all??

Oh sorry i missed you.Yeah i can see the pattern.Ah now i get it. Thanks for helping!!

This helped me so much. Thank you Euler7 and also RDK games.Cheers!!

Original post by asifmahmoud

This helped me so much. Thank you Euler7 and also RDK games.Cheers!!

Tbh it’s easier to notice the pattern as (2n+1)n^2 from n=3 to n=30

(edited 5 years ago)

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