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3 years ago

Evaluate the expression: 4⋅9+6/-3

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

4 * 9 + 6/-3 =
36 + 6/-3 =
36 - 2 =
34

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The sum of the given sequence is -6384.

Step-by-step explanation:

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

The first term of the sequence = 14
The last term of the sequence = -280
The common difference ⇒ 14 - 8 = 6

To find the number of terms in the sequence :

The formula used is $n = (\frac{a_{n}-a_{1}} {d})+1$

where,

n is the number of terms.
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d is the common difference which is 6.

Therefore, $n =(\frac{-280-14}{6}) +1$

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⇒ n = 48, since n cannot be negative.

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To find the sum of the arithmetic progression :

The formula used is $S = \frac{n}{2}(a_{1} + a_{n} )$

where,

S is the sum of the sequence.
$a_{1}$ is the first term which is 14.
$a_{n}$ is the late term which is -280.

Therefore, $S = \frac{48}{2}(14+ (-280))$

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⇒ $S = 48 \times -133$

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