Mathematics, 14.02.2022 06:30 MoparorNocar061401

Find the nth term rule for 18,15,12,9

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Answer from: karyme12

an = a+(n-1) d

this is the rule

Answer from: elopezhilario6339

nth term = 21 - 3n

Step-by-step explanation:

18,15,12,9

This is an arithmetic sequence.

a= first term = 18

Common difference = d = second term - first term

d = 15 - 18

d = -3

nth term = a + (n-1)d

= 18 + (n-1)*(-3)

= 18 + n*(-3) - 1*(-3)

= 18 - 3n + 3

= 21 - 3n

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

the length of o'p' is $1.5\times op$ .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

$k=\frac{o'p'}{op}$

the scale factor is 1.5.

$1.5=\frac{o'p'}{op}$

multiply both sides by op.

$1.5\times op=o'p'$

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is $1.5\times op$ .

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