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Number in sequence 3,-6,12,4,20 is expanded in the following way
Step-by-step explanation:
There are 2 series clubbed together
Odd place series 3 12 20 ?
Even place series -6 4 ?
These numbers are related in the following way, beginning with 3:
First, we subtract 9 to get -6
3 - 9 = -6
Next, we add 18
-6 + 18 = 12
To get from 12 to 4, we subtract 8:
12 - 8 = 4
and to get from 4 to the final number of 20, we must add 16
4 + 16 = 20
We need to examine the numbers that we add/take away in the sequence to find a pattern so we can predict the next number.
Even place numbers are getting subtracted starting from number 9 and it kept on decreasing for successive odd positions.
Odd place numbers are getting added with twice the number which has been previously subtracted..
hence next number will be
20–7 = 13..
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
The slope is 1. However it may be asking for the Y-intercept which is -3 on that line.
547.9 is the answer to this