Question

Check my answers please?

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Answer 1

@mathmate

Answer 2

@Directrix

Answer 3

If I may help?

Answer 4

For the first sequence:

the rule is \[\huge a_n=-7+5n\]

Answer 5

3 and 6 are correct.

For problem 7, you are asked to find \(S_{25}\).
That is not the same as \(a_{25}\), the 25th term.
\(S_{25}\) is the sum of all the terms up to and including the 25th term.

Answer 6

for the 25th, just substitute with 25 in the formula, you get
\[\huge a_{25}=-7+5(25)=113\]

Answer 7

For problem 7, you can use the formula below for the sum of the terms of an arithmetic sequence.

\(\large S_n = \dfrac{n(a_1 + a_n)}{2} \)

Answer 8

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