Final answer:
To express the sum of the numbers from 1 to 135 in sigma notation, the formula is Σ from i=1 to 135 of i, which calculates to 9180. When limited to three significant figures, the result is 9.18 × 10^3.
Step-by-step explanation:
To write the sum of the numbers from 1 to 135 using sigma notation, we would express it as Σ from i=1 to 135 of i, where i represents each integer from 1 to 135. This is written in mathematical notation as:
Σi=1135 i
The sum of an arithmetic series can be calculated using the formula S = n/2(a1 + an), where S is the sum of the series, n is the number of terms, a1 is the first term, and an is the last term. For the series 1 + 2 + ... + 135, the sum is:
S = 135/2(1 + 135) = 135/2(136) = 9180
However, when we limit it to three significant figures, it becomes 9.18 × 103.