The sum of the given sequence is -6384.
<u>Step-by-step explanation:</u>
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
<u>To find the number of terms in the sequence :</u>
The formula used is
where,
- n is the number of terms.
- is the late term which is -280.
- is the first term which is 14.
- d is the common difference which is 6.
Therefore,
⇒
⇒
⇒
⇒ n = 48, since n cannot be negative.
∴ The number of terms, n = 48.
<u>To find the sum of the arithmetic progression :</u>
The formula used is
where,
- S is the sum of the sequence.
- is the first term which is 14.
- is the late term which is -280.
Therefore,
⇒
⇒
⇒
∴ The sum of the given sequence is -6384.
Answer:
L₄₂ = 83.4
Step-by-step explanation:
Put 42 where n is and do the arithmetic.
... L₄₂ = 75 + 0.2·42
... = 75 + 8.4
... = 83.4
27
:) idk what else to say
Wherever there is an x , plug in 20,000