In the following exercises Write the series using summation notation ?

4+7+12+19+...

-3+4-5+6-7

1/3+1/9+1/27+1/81+....

1 Answer
Mr. Mike
Apr 19, 2018

#4+7+12+19...=sum_(k=1)^nk^2+3#

#-3+4-5+6-7...=sum_(k=1)^(n)(-1)^k(k+2)#

#1/3+1/9+1/27+1/81...=sum_(k=1)^n1/(3^k)#

where #n# = the number of terms in the series.

Explanation:

Normally, I don't do people's homework for them, but since you're new to Socratic, I'll do yours. Welcome.

#4+7+12+19...=sum_(k=1)^nk^2+3#

#-3+4-5+6-7...=sum_(k=1)^(n)(-1)^k(k+2)#

#1/3+1/9+1/27+1/81...=sum_(k=1)^n1/(3^k)#

where #n# = the number of terms in the series.

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