Thursday

November 20, 2014

November 20, 2014

Posted by **Tosin** on Sunday, November 20, 2011 at 1:52pm.

- Further mathematics -
**Steve**, Sunday, November 20, 2011 at 2:39pmSince the two sequences have the same first term, and they sum to 3, they both start with 3/2.

Let the arithmetic sequence be 3/2, 3/2 + d, 3/2 + 2d, ...

Let the geometric sequence be 3/2, 3/2 r, 3/2 r^2, ...

3/2 + d + 3/2 r = 3/2

so, d = -3/2 r

3/2 + 2d + 3/2 r^2 = 6

r = 3 or -1

d = -9/2 or 3/2

AS: 3/2, -3, -15/2, ...

GS: 3/2, 9/2, 27/2, ...

or

AS: 3/2, 3, 9/2, ...

GS: 3/2, -3/2, 3/2, ...

I assume you can make it to the 5th terms of each sequence.

Cool problem!

- Further mathematics -
**oladepo oluwatobi**, Sunday, March 3, 2013 at 1:01pm105

**Answer this Question**

**Related Questions**

Further mathematics - An exponential sequence (GP)of positive terms and a linear...

Further mathematics - An exponential sequence of positive terms and a linear ...

Maths - 1..The first 2 terms of a geometric progression are the same as the ...

Maths - An arithmetic and a geometric sequence have the same first terms.(2).......

Math for Educators - The first difference of a sequence is 8, 12, 16, 20,... The...

Math *URGENT - Please give the answers and solutions for each. 1.If the second ...

algebra 2 help please/check - The first 3 terms in a geometric sequence are 1.1...

Algebra II - The first 3 terms in a geometric sequence are 1.1, 1.65, and 2.475...

algebra 2 - The first 3 terms in a geometric sequence are 1.1, 1.65, and 2.475...

Can someone help me?! - The 1st, 5th and 13th terms of an arithmetic sequence ...