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3 years ago

Determine the explicit formula of the following sequence -3,-18,-108...

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

Answer:

$a_{n}$ = - 3 $(6)^{n-1}$

Step-by-step explanation:

Note the common ratio r between consecutive terms, that is

r = - 18 ÷ - 3 = - 108 ÷ - 18 = 6

This indicates the sequence is geometric with n th term ( explicit formula )

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = - 3 and r = 6, thus

$a_{n}$ = - 3 $(6)^{n-1}$

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3 years ago

In a geometric sequence, the first term is 8 and the sum of the first six terms is 74 648. Determine the third term of the seque

KATRIN_1 [288]

A1=8
common ratio=r
sum of 6 terms
S=a1+a2+a3+...+a6
=a1(1+r+r^2+...+r^5)
=a1(r^6-1)/(r-1)
but we're given S=74648
=>
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4 years ago

Distribute to create an equivalent expression with the fewest symbols possible.<br> 6(5x – 3)

alekssr [168]

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Step-by-step explanation:

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