Asked by HELP

Determine whether each of the following is always, sometimes, or never true. If the answer is sometimes true, state the conditions under which it would be true.

sn+1 - sn = an+1

Answers

Answered by oobleck
is the n and n+1 a subscript?
If so, then we appear to be talking about the sequence of partial sums of a sequence.
So, take a look...
sn = a1 + a1 + ... + an
s_n+1 = a1 + a2 + ... + a_n + a_n+1
clearly, s_n+1 = s_n + a_n+1
so, s_n+1 - s_n = a_n+1 always

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