SOLUTION: express 7+13+19+...+61 using sigma notation

Question 1081532: express 7+13+19+...+61 using sigma notation
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
This is an arithmetic sequence. Take note how we add 6 each time to generate the next term (eg: 7+6 = 13, 13+6 = 19, etc)

The common difference is therefore d = 6.

The first term is 7, so

The nth term is

So the sigma notation summation would be

Notice how plugging k = 1 leads to
6*k+1 = 6*1+1 = 7
which is the first term of the summation string "7+13+19+...+61"

while plugging k = 10 leads to
6*k+1 = 6*10+1 = 60+1 = 61
which is the last term of the summation string "7+13+19+...+61"

Note: solving 6k+1 = 61 leads to k = 10

----------------------------------------------------------------------

Final Answer:
RELATED QUESTIONS
Express the series 5 + 9 + 13 + ... + 105 using sigma notation. Answer Choices:... (answered by Boreal)

Express the series 6 + 9 + 12 + ... + 108 using sigma... (answered by fractalier)

express 3-6+12-24+ using sigma... (answered by math_helper)

Solve each inequality and express your solution using interval notation. 13-7X<55... (answered by Fombitz)

Express the following inequality using interval notation. 7 (answered by lynnlo)
Express the series -27+9-3+1-... using sigma notation Thank you so much!!!!! God... (answered by richard1234)
Express the sum using summation notation.... (answered by Boreal,Edwin McCravy)
Express the sum using summation notation.... (answered by Fombitz)
Solve each inequality and express your solution using interval notation. (1)... (answered by texttutoring)