The sum of the given sequence is -24846.
<u>Step-by-step explanation:</u>
The given Arithmetic sequence is 46 + 42 +38... +(-446) +(-450).
- The first term of the sequence = 46
- The last term of the sequence = -450
- The common difference ⇒ 46 - 42 = 4
<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 -450.
is the first term which is 46.- d is the common difference which is 4.
Therefore, 
⇒ 
⇒ 
⇒ 
⇒ n = 123, since n cannot be negative.
∴ The number of terms, n = 123.
<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 46.
- is the late term which is -450.
Therefore, 
⇒ 
⇒ 
⇒ 
∴ The sum of the given sequence is -24846.
Answer:
when you simplify the answer is -0.91113026
Step-by-step explanation:
<em>b</em><em> </em>for <em>books</em><em> </em>read. b=1x + 1. the amount of months he's been in the club goes for x and +1 because he already read a book before he joined. if you do easy math, he's been there for 8 months because he read 9 books. i probably got the equation backwards but this works both ways imo.
Answer: Given f ( x ) = 2x + 1 and g ( x ) = x2
+ 2x – 1 find ( f + g ) ( x ) and
( f + g ) ( 2 )
Solution
Step 1. Find ( f + g ) ( x )
Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;
( f + g ) ( x ) = ( 2x + 1 ) + (x2
+ 2x – 1 )
= 2x + 1 + x2
+ 2x – 1
= x
2
+ 4x
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
21 is the constant of proportionality.
