Question

Find the sum of the numbers from 10 to 40

Answer 1

The sum of the numbers from 10 to 40 is 775.

To find the sum of the numbers from 10 to 40, we can use the formula for the sum of an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is always the same. In this case, the common difference is 1.

The formula for the sum of an arithmetic sequence is:

S = n/2 * (2a + (n - 1)d)

Where:

S is the sum of the sequence

n is the number of terms in the sequence

a is the first term of the sequence

d is the common difference

In this case:

n = 31 (since there are 31 numbers from 10 to 40)

a = 10 (the first number)

d = 1 (the common difference)

So we can plug these values into the formula and get:

S = 31/2 * (2 * 10 + (31 - 1) * 1)

S = 31/2 * (20 + 30)

S = 31/2 * 50

S = 31 * 25

S = 775

So the sum of the numbers from 10 to 40 is 775.

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Answer 2

step 1 [40×41]÷2=820

step 2. [10×9]÷2=45

step 3. 820-45=775