If 1st and 4tg terms of G. p are 500 and 32 respectively it's second term is ?

Step-by-step explanation:

Given

Geometry Progression

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

For first term: Tn = 500 and n = 1

For fought term: Tn = 32 and n = 4

Substitute 500 for a

Make r^3 the subject

Take cube roots

Using:  

        and

Hence, the second term is 200

-2 is the right

the length of o'p' is .

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

the scale factor is 1.5.

multiply both sides by op.

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 .