Evaluate the summation of 3 n plus 2, from n equals 1 to 14..

3n + 2 when n = 1 = 3 + 2 = 5

when n = 2 we have the 2nd term which is 3(2) + 2 = 8

for n = 3 we have 3rd term = 11 and so on

This is an arithmetic series with first term a1 = 5 and common difference = 3

so Sn = (n/2) ( 2a1 + (n - 1)d))

there fore Sum of 14 terms = (14/2)(2*5 + 13*3)

= 7 * 49 = 343 answer

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

answer: 486in^2

step-by-step explanation: