someone explain to me!

the third term of a geometric sequence is t3= -75 and the sixth term is t6=9375. determine the first term and the common ratio.

how do I do this question I am tying really hard but I still don't comprehend this question!

We have t3 = -75 and t6 = 9375.
A geometric sequence looks like
a, ar ar2, ar3, ar4, ar5, ar6...
If you take the ratio of ar5 to ar2 you should get t6/t3. Note that the exponent of the ratio is always one less than the term number. In any case, this is ar5/ar2 = r3
so look at 9375/-75 = r3 = something you can do
Note that this is an alternating sequence.
Can you take it from here?

I don't know about andrew but I am looking at a similar question like this and was wondering if you could show how to do the rest thanks!

I'll try to get you started, or help if you're stuck somewhere, butI won't do the rest. :[

This right here
a, ar, ar2</subp>, ar3</subp>, ar4</subp>, ar5</subp>, ar6</subp>

should've been

a, ar, ar2, ar3, ar4, ar5, ar6

These are the first 7 terms of the sequence. The first term is always ar0 = a
I do a lot of copy/paste and sometimes don't proofread what I'm writing -until after it's posted.
Anyway, I hope you can follow what I outlined.

I understand! thanks!

hmmm...looks like I have too many distractions right now...I'm forgeting to check that the tags are balanced.

This here
This right here
a, ar, ar2, ar3, ar4, ar5, ar6
should be

I'm glad you made sense of the post in spite of typos.
a, ar, ar2, ar3, ar4, ar5, ar6

1. 👍 0
2. 👎 0
3. 👁 79

Similar Questions

1. math

the third term of a geometric sequence is t3= -75 and the sixth term is t6= 9375. determine the first term and the common ratio

asked by liza on January 4, 2011
2. Algebra 2

The third and sixth terms of a geometric sequence are -75 and -9375 respectively. Find the first term, the common ratio, and an explicit rule for the nth term.

asked by Kennedy on February 19, 2015
3. algebra1

Which of the following functions represents a geometric sequence? Why? Answer Choices The function f(x)=x7 represents a geometric sequence because each term is raised to the seventh power to make it greater. The function f(x)=7x

asked by miyah on October 9, 2017
4. algebra

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1

asked by Marissa on August 26, 2007
5. algebra

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1

asked by Marissa on August 24, 2007
6. algebra

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1

asked by Marissa on August 23, 2007
7. algebra(check)

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1

asked by Marissa on August 24, 2007
8. Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term

asked by Randy on June 17, 2016
9. Math

1. The fourth and seventh terms of a geometric sequence are 6 and 384, respectively. What is the common ratio and the sixth term of the sequence? 2. The fifth and eight terms of a geometric sequence of real numbers are 7! and 8!

asked by Penny on March 13, 2015
10. math

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 A)1215 B)3645 C)9375 D)23 I chose A 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3... A)aN=-12(1/3)n-1 B)aN=12(-1/3)n-1

asked by Jon on December 12, 2007

More Similar Questions