Thursday

November 20, 2014

November 20, 2014

Posted by **Jade** on Wednesday, June 18, 2014 at 8:59pm.

2. Given the terms a10 = 3 / 512 and

a15 = 3 / 16384 of a geometric sequence, find the exact value of the first term of the sequence.

- Math -
**Reiny**, Wednesday, June 18, 2014 at 10:55pm1

term(n) = ar^(n-1)

term(10) = 16(-1/2)^9

= 16(-1/512)

= - 1/32

2.

ar^9 = 3/512

ar^14 = 3/16384

divide the 2nd by the first

r^5 = 1/32

r = 1/2

back into the first

a(1/2)^9 = 3/512

a(1/512) = 3/512

a = 3(512)/512 = 3

**Answer this Question**

**Related Questions**

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

Math - A sequence is formed by adding together the corresponding terms of a ...

math30 - Sequences 1)A sequence has a first term of 24 and every other term is ...

math-algebra 1 - Find the 6th term of the geometric sequence whose common ratio ...

math - find the fourth term of the geometric sequence whose first term is 8 and...

MaTh - A certain 300-term geometric sequence has first term 1337 and common ...

Math - Question 1 Write the first four terms of the sequence whose general term...

Math PLEASE HELP PLEASE PLEASE PLEASE - Question 1 Write the first four terms ...

math - Determine whether each sequence is arithmetic or geometric. Find the next...

Math - an = 3n - 1 Answer 2, 3, 4, 5 2, 5, 8, 11 -2, -5, -8, -11 4, 7, 10, 13 3...