Find the third, fifth, and seventeenth terms of the sequence described by each explicit formula
2 answers:
Answer:
3rd, 5th and 17th terms are 14, 20, 56 respectively.
Step-by-step explanation:
The given question is incomplete; find the complete question in the attachment.
In this question explicit formula has been given as,
f(n) = 8 + 3(n -1)
We have to find the 3rd, 5th and 17th term of the sequence described by the explicit formula given above.
For 3rd term,
Substitute n = 3 in the formula,
f(3) = 8 + 3(3 - 1)
= 8 + (3 ×2)
= 8 + 6
= 14
Similarly. for n = 5,
f(5) = 8 + 3(5 - 1)
= 8 + 3(4)
= 8 + 12
= 20
For n = 17,
f(17) = 8 + 3(17 - 1)
= 8 + 3(16)
= 8 + 48
= 56
Therefore, 3rd, 5th and 17th terms are 14, 20 and 56 respectively.
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Answer:
The equation of the relation ⇒
y = 18
Step-by-step explanation:
∵ y ∝ x/z
∴ y = kx/z
∵ y = 18 , x = 15 and z = 5
∴ 18 = 15k/5 ⇒ 18 = 3k
∴ k = 18/3 = 6
∴ y = 6x/z
∵ x = 21 and z = 7
∴ y = (6 × 21)/7 = 18