Identify the 10th term of the geometric sequence 7, -35, 175 ...
a. -13,671,875
b. -68,359,375
c. 68,359,375
d. 13,671,875

Question

Identify the 10th term of the geometric sequence 7, -35, 175 ...
         a. -13,671,875	
	 b. -68,359,375	
	 c. 68,359,375	
	 d. 13,671,875

calculusxy · Answer

What is the pattern that you notice in here?

anonymous · Answer

i dont understand sequencing

calculusxy · Answer

Well that is why I am helping you. Can you answer the question that I gave you?

anonymous · Answer

it goes positive neg pos

calculusxy · Answer

Okay. But when I say the pattern of the number, I am saying like you do an operation with the previous number to get the next number.

calculusxy · Answer

So what operation do you do?

anonymous · Answer

multiply by -5

calculusxy · Answer

To help you, divide -35 by 7. What do you get?

calculusxy · Answer

Correct.

calculusxy · Answer

This sequence is multiplying by -5. You are to multiply the previous number by -5 to get the next number. Since I am not aware of any shortcuts as of now, I would prefer you to use a calculator to multiply until you get to the 10th term of the pattern.