Ask a New Question

Asked by Clark

write the finite series -1+2+7+14+23+...+62 in summation notation
8 years ago

Answers

Answered by Reiny
term(1) = 1^2 -2 = -1
term(2) = 2^2 - 2 = 2
term(3) = 3^2 - 2 = 7
term(4) = 4^2 - 2 = 14
...
term(n) = n^2 - 2
62 = 8^2 - 2 , so we have 8 terms

sigma (n^2 - 2) for 1 to n
= n(n+1)(2n+1)/6 - 2n

recalling that sum n^2 = n(n+1)(2n+1)/6

checking for sum(5)
= 5(6)(11)/6 - 10 = 55-10 = 45
-1+2+7+14+23 = 45
8 years ago

Related Questions

Geometric series: Finite and infinite n=5 a1=243 r=2/3 i=1 This is the equation 243(2/3)^i... A polynomial is a finite series of terms in the form ax^m , where a is a(n) and m is a(n) . Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5 Discuss finite and non-finite verbs with examples. How would you write the series 3+12+48+192 using sigma notation?(1 point) Responses ∑4n=1(3)(4)n−1 s... Write a geometric series using the following sequence that sums the first 100 terms in sigma notatio... Write the series represented by ​∑6n=1(8)(1/2)n−1 (1 point) Responses 8+4+2+1+12+14 8 plus 4 plus 2... How would you write the series 3+12+48+192%C2%A0using sigma notation?(1 point)%0AResponses%0A%0A∑4n=...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use