Find ine indicated sum. sum_{i=1}^9i^{2}+2

Bevan Mcdonald

Bevan Mcdonald

Answered question

2021-02-11

Find ine indicated sum.
i=19i2+2

Answer & Explanation

aprovard

aprovard

Skilled2021-02-12Added 94 answers

Note that
i=19i2+2=i=19i2+2[an+bn=∵an+bn]
Recall the formula: k=19k2=1/6n(n+1)(2n+1)
=[1/69(9+1)(29+1)]+2i=191
=(285)+29=285+18=303
Hence the final answer is
i=19((i2)+2)=303

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