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This is a geometric series with an initial value of 3 and a common ratio of 10.
Use the formula S_n= a_1(1-r^n)1-r.
Use the notation ∑_(k=1)^n.
333 333
333 333
∑_(k=1)^n (3* 10^(k-1))
Examining the geometric sequence, we notice that it has an initial value of 3 and a common ratio of 10. Therefore, to go from one term to the next we have to multiply by 10. This makes it quite easy to calculate terms since, when multiplying by 10, we just add a 0 to the end of the previous term.
To calculate the sum of a geometric series, we use the following formula.
The first n terms of the series can be written in summation notation in the following way.