Evaluate the Summation sum from i=1 to 6 of 3i+2

Problem

(∑_i=1^6)(3*i+2)

Solution

1. Identify the summation terms by substituting the values of i from 1 to 6 into the expression 3*i+2

2. Calculate each individual term for the given range:
   For i=1 3(1) + 2 = 5F*o*r = 2:(2) + 2 = 8F*o*r = 3:(3) + 2 = 11F*o*r = 4:(4) + 2 = 14F*o*r = 5:(5) + 2 = 17F*o*r = 6:(6) + 2 = 20$

3. Sum the calculated values to find the total:

5+8+11+14+17+20

4. Simplify the addition:

5+8=13

13+11=24

24+14=38

38+17=55

55+20=75

Final Answer

(∑_i=1^6)(3*i+2)=75

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