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whitethunder05
17.07.2019 •
Mathematics
Find the sum of the first 50 terms of the sequence below an=3n+2
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Ответ:
An+1 - An = 3n+5 -3n-2=3
An is aa arithmetic sequence
its sum is given by:
A0 +A1 +A2 + . . . + An = N(Ao + An) /2
where N = n-0=n
S50= A0 +A1 +A2 + . . . + A50 = 50(Ao + A50) /2
S50 = 50(Ao + A50) /2
Ao=2, A50=150+2=152
S50= 50(Ao + A50) /2
finally
S50=25*154=3850
Ответ: