Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
The answer would be ( x+1, y+4)...... Hope this helps
Answer:
9 and -6 multiply to -54 and add to 3
Step-by-step explanation:
when listing the factors of 54, we can find a pair that add to 3
1, 2, 3, 6, 9, 18, 27 and 54
9 and -6 is the pair.
hope this helps! :D
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Answer:
22 rooms
Step-by-step explanation:
If two gallons of paint covers 3 rooms then you need to divide 15 gallons of paint by 2 gallons of paint = 7.5 gallons of paint. then you need to multiply 7.5 gallons of paint by 3 rooms = 22.5..... so that means you can paint 22 full rooms.
For any x in Real numbers, [x] is the greatest possible integer smaller than x, or equal to x if x is an integer.
According to this,
<span>[2.4] is the greatest integer , smaller than or equal to (so non greater) 2.4. This number is 2
similarly, </span>[-2.4] is the greatest integer , smaller than or equal to (so non greater) -2.4. This number is -3.
Answer:
A) <span>Because 2 is the greatest integer not greater than 2.4 and –3 is the greatest integer not greater than –2.4. </span>