Is t = –2 a solution to the inequality below? –1 ≤ t yes or no
1 answer:
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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.
Therefore,
⇒
⇒
⇒
∴ The sum of the given sequence is -24846.
Answer:
1)
<u>Find the union of A and B:</u>
- A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}
<u>Find the complement of above:</u>
- (A∪B)
=
- U\(A∪B) =
- {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} =
- {1,8,12,16}
2)
<u>Find the intersection of A∩C:</u>
- A∩C = {5,6,7,14,20}
<u>Find the complement of above:</u>
- (A∩C)
=
- U\(A∩C) =
- {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} =
- {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}
Answer:
slope = -
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)
m = = -