what is the Recursive Formula and the Explicit Formula for Let a1=2, 9, 16, 23, and Let a1=2, 14, 98, 686, ...

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:

Step-by-step explanation:

I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)

For 2,9,16,23...

Recursive is a(n+1)=an+7

Explicit is an=2+7(n-1)

(or more neatly an=7n-5)

For 2,14,98,686...

Recursive is a(n+1)=7an

Explicit is an=2(7^(n-1))

(or (2/7)7^n )

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In an arithmetic sequence, if a2= 5 and a10= 19 find a6

OLEGan [10]

Answer:

a₆ = 12

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 5 and a₁₀ = 19 , then

a₁ + d = 5 → (1)

a₁ + 9d = 19 → (2)

Subtract (1) from (2) term by term to eliminate a₁

8d = 14 ( divide both sides by 8 )

d = 1.75

Substitute d = 1.75 into (1)

a₁ + 1.75 = 5 ( subtract 1.75 from both sides )

a₁ = 3.25

Then

a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12

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2 years ago

REPLY ASAP PLEASE!!!

d1i1m1o1n [39]

Answer:

The answer is c.

Step-by-step explanation:

4 0

3 years ago

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umka2103 [35]

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