A sequence starts with -2,3,-4,5 and it gave you the equation ((-1)^n)(n+1) = number in a sequence. It asks for the
sum of the first 101 integers…
thanks!
i am not sure that is the correct equation…
also, what about this one???
y=6^x and y^k= 6^9. what does kx equal???
@momof2ky The sum of the first two terms (2 and -3) is 1. The sum of the next two terms is 1. In general, the sum of the (2k-1)th and (2k)th term taken consecutively is 1.
Hence, the sum of the first 100 terms is 50. The 101st term is -102, so the sum is 50-102 = -52.
Plugging in, y^k = (6^x)^k = 6^9. Using the rules of exponents, (6^x)^k = 6^(xk) = 6^9, so xk = 9.