Question

Find ∑n=18(5n+8)
Maths question

Answer 1

Answer:

Solutions

4n. = ∞. ∑ n=1. 2n. 4n. +. ∞. ∑ n=1. 3n. 4n. = 1+3=4. 5. Find the interval of convergence of the power series. ∞. ∑ n=1. (2x - 5)n n23n.

Answer 2

Given :  ∑n=18(5n+8)

To Find :  n

Solution:

∑n=18(5n+8)

=> ∑n= 90n + 144

∑n  = n(n + 1)/2

=> n(n + 1)/2 = 90n + 144

=> n² + n = 180n + 288

=> n²  -179n  - 288 = 0

n does not come integer  

mistake in data

if Question is

∑18(5n + 8)

= ∑ (90n + 144)

= 90∑n  + ∑144

= 90 n (n + 1)/2  + 144m

= 45n(n + 1) + 144n

= 45n² + 45n + 144n

= 45n² + 189n

= 9n(  5n  + 21)

∑18(5n + 8) = 9n(  5n  + 21)

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