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# High School Math Problems/Sequences using sigma

Need help solving problem numbers 6,8,9,10,11, 12,13,14,15,16 and show work.

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6.What is the tenth term of the geometric progression ½, -1, 2, -4?
8.Which series is represented by &#8721;_(i=1)^4&#9618;&#12310;(4i-2)&#12311;
9.What type of series is 32+16+8+4+2+1?
10.What is a rule for the nth term of the geometric sequence with a3= -12 and common ratio r=3
11.What is the sum of the series&#8721;_(i=0)^9&#9618;&#12310;20&#12310;(1/2)&#12311;^i &#12311;
12.What is the sum of the series &#8721;_(i=0)^5&#9618;&#12310;(n^3+3)&#12311;
13..What is the rule for the nth term of the arithmetic sequence with a14=9 and common difference d=2
14.What is the sum of the first 50 terms of the series 2+17+32+47+......?

15.Choose the statement that is true about the given quantities.
Column A. Tenth term of the sequence : an=2n-5 Column B: &#8721;_(n=1)^5&#9618;n

Column A:The common ratio of the geometric sequence - 1/9+ 1/3-1+3 : Column B: &#8721;_(n=3)^6&#9618;&#12310;(-2)&#12311;^n
A. The quantity in column A is greater
B. The quantity in column B is greater
C.The two quantities are equal
D. The relationship cannot be determined from the given information.

#### Solution Summary

Step by step solutions to all the problems are provided.

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