Question

2+6+10+14+...........................................................+94+98

Answer 1

Ответ:

18 22 26 30 34 38 42 44 48 52 56 60 64 68 72 76 80 84 88 92

Answer 2

The given series is an arithmetic series with a common difference of 4. To find the sum of this series, we can use the formula for the sum of an arithmetic series:

Sn = (n/2)(2a + (n - 1)d)

where: Sn = sum of the series n = number of terms a = first term d = common difference

In this case: a = 2 (the first term) d = 4 (the common difference)

To find the number of terms, we need to determine the last term of the series. We know that the last term is 98, so we can use the formula for the nth term of an arithmetic series:

an = a + (n - 1)d

Substituting the values: 98 = 2 + (n - 1)4

Simplifying the equation: 98 = 2 + 4n - 4 98 = 4n - 2 4n = 100 n = 25

Now that we have the number of terms, we can substitute the values into the formula for the sum of the series:

Sn = (n/2)(2a + (n - 1)d) S25 = (25/2)(2(2) + (25 - 1)4) S25 = (25/2)(4 + 24) S25 = (25/2)(28) S25 = 25 * 14 S25 = 350

Therefore, the sum of the given series is 350.