Find the nth partial sum of the arithmetic sequence. 1,4,9,16,25, ... ; n=10
Do you see a pattern in the first few numbers?
I just dont know how to do the problem.... My teacher never explained this well.
I looks like each number is added by intervals of odd numbers. So... 1 to 4 is a +3 4 to 9 is a +5 9 to 16 is a +7 16 to 25 is a +9
Thats all I have.
\(\large \begin{array}{cccccccccc} 1st&2nd&3rd&4th&5th&...&10th\\ \hline\\ 1&4&9&16&25& ... & n=10\\ \hline\\ 1^2&2^2&3^2&4^2&5^2&...&10^2 \end{array}\)
Sorry, internet went out. Anyway, that is pretty good intuition. Another way to look at it, which will save you from a lot of arithmetic, is that notice each is a square. 1^2 + 2^2 + 3^2 out the nth term
Are you supposed to be finding the general term, or the actual value of the sum out to the nth term?
Its just telling me to find the partial sum. Sorry for the late reply, my internet went out too.
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