Answer:
- 1364
Step-by-step explanation:
The n th term of a geometric series is
= a![(r)^{n-1}](https://tex.z-dn.net/?f=%28r%29%5E%7Bn-1%7D)
where a is the first term and r the common ratio
4
← is an n th term
with a = 4 and r = - 2
The sum to n terms of a geometric series is
=
, thus
= ![\frac{4((-2)^{10}-1) }{-2-1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%28%28-2%29%5E%7B10%7D-1%29%20%7D%7B-2-1%7D)
= ![\frac{4(1024-1)}{-2-1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%281024-1%29%7D%7B-2-1%7D)
= ![\frac{4(1023)}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%281023%29%7D%7B-3%7D)
= ![\frac{4092}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B4092%7D%7B-3%7D)
= - 1364
9514 1404 393
Answer:
9⁸
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
__
![\dfrac{9^3\cdot9^4}{9^2}\cdot9^3=9^{3+4-2+3}=\boxed{9^8}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5E3%5Ccdot9%5E4%7D%7B9%5E2%7D%5Ccdot9%5E3%3D9%5E%7B3%2B4-2%2B3%7D%3D%5Cboxed%7B9%5E8%7D)
I think the answer is 17 because the pattern adds 4 then takes away 1 so 14-1=13 13+4=17
Answer:
c) 2(2y+1)
Step-by-step explanation:
This is because when the tables are together there can be 4 people at each table, plus 1 at either end. Whatever equation you have must have +2 in it, to account for the ends of the tables. The number of tables (y) must be multiplied by 4 because there are always 4 people per table. The number of tables is unknown so 4y must be in your equation.
2(2y+1) simplifies to 4y+2, which is the equation we want.
Answer is a
Explanation 5/20