Find the sum of 14 + 8 + 2+ ... + ( 274) + (-280).

The sum of the given sequence is -6384.

Step-by-step explanation:

The given Arithmetic sequence is 14 + 8 + 2+ ... + ( 274) + (-280).

To find the number of terms in the sequence :

The formula used is

where,

Therefore,

⇒

⇒

⇒

⇒ n = 48, since n cannot be negative.

∴ The number of terms, n = 48.

To find the sum of the arithmetic progression :

The formula used is

where,

Therefore,

⇒

⇒

⇒

∴ The sum of the given sequence is -6384.

60

step-by-step explanation: