Posted by **deli** on Monday, April 29, 2013 at 11:27am.

Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How many of these 1000 geometric sequences have the property that the sum of the 3 terms is prime?

- algebra -
**Reiny**, Monday, April 29, 2013 at 12:58pm
I did this question here

http://www.jiskha.com/display.cgi?id=1367223190

Somebody called "tsong" disagreed, but clearly did not read my solution, since I "proved" that there is only one such case,

when the GS is 1 , 1, 1

that is, when the common ratio is 1

then 1 + 1^2 + 1^4 = 3 , which is a prime number

conclusion: there is only ONE such sequence.

## Answer This Question

## Related Questions

- Maths - Consider all 3-term geometric sequences with first term 1 and with ...
- Math - Consider all 3-term geometric sequences with first term 1 and with common...
- Maths - Eric thinks of 2 sequences.One is geometric and the other arithmetic....
- check! - If the third and ninth temr of a geometric series with a positive ...
- Geometric progression - The second term of a geometric progression is 12 more ...
- Geometric Series (Algebra 2) - I need some assistance or a formula when trying ...
- Maths - 1..The first 2 terms of a geometric progression are the same as the ...
- Mathematics. Geometric sequences. - 2+4+8+...is a geometric sequence. Prove the ...
- math... - how can I tell if a sequences is airthmetic, geometric or neither? ...
- math30 - Sequences 1)A sequence has a first term of 24 and every other term is ...

More Related Questions