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.
4z - ( - 3 z)
= 4 z + 3 z = 7 z
the answer would be B ( 4,-5) because when I put them on a graph it came up with the right one
15r means that she burns 15 calories per min, for as many mins as she ran. EG: if she ran for 10 min, then she burned 150 cals. The other one I'm not so sure.