7. Find the formula for the 17th term of the sequence in which a1 = -3 and the common ratio is -2. -2 • (-3)^16 -3 • (-2)^16 -3 • (-2)^17 -2 • (-3)^17 8. Find the formula for the 14th term of the sequence in which a1 = 2 and the common ratio is -4. -4 • 2^13 2 • (-4)^13 2 • (-4)^14 -4 • 2^14 9. Find the formula for the 17th term of the sequence in which a1 = -2 and the common ratio is -3. -3 • (-2)^16 -3 • (-2)^17 -2 • (-3)^16 -2 • (-3)^17
What are you thinking here?
i honestly dont know. all the other questions were sequences like 1,4,7,10 so you add 3 to each number then it says find the 24 number. which i understand. this one i just dont really understand what it is asking for
Do you remember the formula for geometric sequences?
uhm i think it is an = a1r ^n-1
That is right. Now remember what a1, r, and n mean. It's just substitution.
not really :/
a1 is the first term. r is the common ratio. n is the number of the term you want to find out about.
hm okay i still dont understand how i would plug all that in and get any of those crazy answers
Look at (7). a1 = -3, so we need an expression that starts with -3. Since the ratio is -2 we need an expression where -2 is being raised to a power. Since we are looking for term 17 we need to look for an expression where the exponent is 17-1 (16). Put all together we get answer........
so its -3 • (-2)^16
True. What about the other two problems?
2 • (-4)^13 is number eight and and number nine is -2 • (-3)^16
8 - ]
thank you so muchhh!!
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