Find the first six terms and the sixth partial sum of the sequence whose nth ter

Question

Find the first six terms and the sixth partial sum of the sequence whose nth term is a(sub)n=2n^2-n
An arithmetic sequence 6,11,16,21,26. Find the common difference for this sequence. Find a formula for the nth term a(sub)n f the sequence. Find the 35th term. Find the first six terms and the sixth partial sum of the sequence whose nth term is a(sub)n=2n^2-n
An arithmetic sequence 6,11,16,21,26. Find the common difference for this sequence. Find a formula for the nth term a(sub)n f the sequence. Find the 35th term.
An arithmetic sequence 6,11,16,21,26. Find the common difference for this sequence. Find a formula for the nth term a(sub)n f the sequence. Find the 35th term.

Explanation / Answer

1)

an=2n2-n

first six terms:

2*12-1,2*22-2,2*32-3,2*42-4,2*52-5,2*62-6

=2-1,8-2,18-3,32-4,50-5, 72-6

=1,6,15,28,45,66

sixth partial sum=1+6+15+28+45+66

=>sixth partial sum=161

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An arithmetic sequence 6,11,16,21,26

common difference for this sequence = 11-6

=> common difference for this sequence =5

nth term,an=6+((n-1)*5)

=>an=6+5n-5

=>an=1+ 5n

35th term.=1+(5*35)

=> 35th term.=1+175

=> 35th term.=176

PLEASE RATE IF HELPFUL.PLEASE COMMENT IF YOU HAVE ANY DOUBT

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