Asked by Leonard
How do I use the sigma notation to express the series : 1+5+25+125+625+3125?
Answers
Answered by
MathMate
First try to make a relation/rule between the different terms:
1=5<sup>0</sup>
5=5<sup>1</sup>
25=5<sup>2</sup>
125=5<sup>3</sup>
625=5<sup>4</sup>
3125=5<sup>5</sup>
So you are really summing
5<sup>0</sup>+5<sup>1</sup>+5<sup>2</sup>+5<sup>3</sup>+5<sup>4</sup>+5<sup>5</sup>
So you would end up with:
i=5
Σ 5<sup>i</sup>
i=0
1=5<sup>0</sup>
5=5<sup>1</sup>
25=5<sup>2</sup>
125=5<sup>3</sup>
625=5<sup>4</sup>
3125=5<sup>5</sup>
So you are really summing
5<sup>0</sup>+5<sup>1</sup>+5<sup>2</sup>+5<sup>3</sup>+5<sup>4</sup>+5<sup>5</sup>
So you would end up with:
i=5
Σ 5<sup>i</sup>
i=0
Answered by
Aira
Thank you helps a lot😁
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