Evaluate the summation of 3 n plus 2, from n equals 1 to 14..
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OpenStudy (ankit042):
3n+2 from n 1 to 14
3(sum(n))+(14)*2
OpenStudy (ankit042):
sum(x) from 1 to n = n(n+1)/2
OpenStudy (ankit042):
so it becomes 3(14(14+1)/2) +28
@KaylaHake can you solve now?
OpenStudy (anonymous):
yeah i was able to solve it
OpenStudy (anonymous):
could you help me with another one?
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OpenStudy (anonymous):
Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..
OpenStudy (ankit042):
sure post a new question and tag me in
OpenStudy (anonymous):
@ankit042
OpenStudy (solomonzelman):
\(\LARGE\color{blue}{ \bf 3n+2 }\) is, as you can tell, an arithmetic sequence where the rate of change or the growth of each next term is 3. (you can call it a "slope" 3)
\(\LARGE\color{blue}{ \bf 3(1)+2=3+2=5 }\)
\(\LARGE\color{blue}{ \bf 3(2)+2=6+2=8 }\)
\(\LARGE\color{blue}{ \bf 3(3)+2=9+2=11 }\)
The formula of a sum for this sequence would be,
\(\LARGE\color{blue}{ \bf \frac{14(a_1+a_{14})}{2} }\)
OpenStudy (solomonzelman):
you can find a14 by simply plugging in 14 for n, into 3n+2.
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