The sum of the first and 100th terms of an arithmetic series is 101. find the sum of the first 100 terms.

  5050

Step-by-step explanation:

The sum of an arithmetic series is the product of the number of terms and the average value of a term. That average value can be found as the average of the first and last terms. Then for (a1 + a100) = 101, the average term is ...

  (a1 +a100)/2 = 101/2 = 50.5

Since there are 100 terms, the sum of them is ...

  100 × 50.5 = 5050

The sum of the first 100 terms is 5050.

srry idk

step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.