Answer to Question #212452 in Calculus for Chris

Question #212452

how many terms of the arithmetic series 10 + 8 + 6 +... will make the sum 24?

Expert's answer

This is the arithmetic sequence with "a_1=10, d=-2."

"S_n=\\frac{n}{2}(2a_1+(n-1)d)"

"\\frac{n}{2}(20-2(n-1))=24"

"n^2-11n+24=0"

"n=3"

Learn more about our help with Assignments: Calculus Pre-Calculus Differential Calculus Multivariable Calculus

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. (a) find and classify the critical points of the functions f(x) = 2x^3 + 3x^2 - 12 x +1 into maximu
2. 1. Find the derivative of the following functions with respect to x.(a) f(x) = x^-1/2 minus xe^x +
3. 1. Evaluate the following limits (a) Lim y"\\to" -1 Fourth root of 4y^3 minus 3(b) lim x"\\to" infi
4. 9.a) Check whether the series sum_(m=1)^(oo)(n^(2)x^(5))/(n^(4)+x^(3)) x in 0 alpha is uniformly con
5. show that∑n=0∞ (-1)^(n+1)(5)/(7n+2)` is conditionally convergent
6. [√n^4+9-√n^4-9]∞∑n=0 test the congervence
7. The population of a certain community is known to increase at a rate proportional to the number of p