Solve \sum_{n=1}^6(3n+1) - ScanMath

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Type your math problem... \sum_{n=1}^6(3n+1)

x

Question

Find the sum

69

Evaluate

n = 1 \sum 6 (3 n + 1)

Calculate

n = 1 \sum 6 3 n + n = 1 \sum 6 1

Calculate

More Steps

Evaluate

n = 1 \sum 6 3 n

Calculate

3 \times n = 1 \sum 6 n

Substitute 6 for n into formula i = 1 \sum n i = \frac{n ( n + 1 )}{2}

3 \times \frac{6 ( 6 + 1 )}{2}

Add the numbers

3 \times \frac{6 \times 7}{2}

Multiply the numbers

3 \times \frac{42}{2}

Divide the terms

More Steps

Evaluate

\frac{42}{2}

Reduce the numbers

\frac{21}{1}

Calculate

21

3 \times 21

Multiply the numbers

63

63 + n = 1 \sum 6 1

Calculate

More Steps

Evaluate

n = 1 \sum 6 1

Calculate

(6 - 1 + 1) \times 1

Calculate

6

63 + 6

Solution

69

Show Solution

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