Find the sum of 46 + 42 +38... +(-446) +(-450)

The sum of the given sequence is -24846.

Step-by-step explanation:

The given Arithmetic sequence is 46 + 42 +38... +(-446) +(-450).

To find the number of terms in the sequence :

The formula used is

where,

Therefore,

⇒

⇒

⇒

⇒ n = 123, since n cannot be negative.

∴ The number of terms, n = 123.

To find the sum of the arithmetic progression :

The formula used is

where,

Therefore,

⇒

⇒

⇒

∴ The sum of the given sequence is -24846.

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step-by-step explanation:

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