Draw an abstract illustration related to geometric progression. Include three cubes with patterned shading to denote the distinctive terms; mark the first cube as the lightest, representing the first term of 5, and the third cube much darker, signifying the third term of 80. Place an empty spot for a cube in the fourth spot, indicating the unknown term. The cubes are floating in a space-like background scattered with geometric shapes such as triangles, rectangles, and circles. Make sure the image contains no text anywhere.

The first and third term of a Gp are 5 and 80 respectively.what is the 4th term?

in a GP

a = 5
term(3) = ar^2 = 5r^2 = 80
r^2 = 16
r = ± 4

if r = +4 , term(4) = ar^3 = 5(4^3) = 320
if r = -4 , term(4) = ar^3 = 4(-4)^3 = -320

check:
if a = 5, r = 4
first 5 terms are: 5, 20, 80, 320, 1280
if a = 5, r = -4
first 5 terms are: 5, -20, 80, -320, 1280

all the given data fits

a= 5

T3 =ar^2
5r^2=80
5r^2/5=80/5
r^2=16
r=4
r=4=ar^3=5(4)^3=320

answer is 320

correctly

Solve the fist and third of a gp 5 and 80 respectively what is 4th term

Correctly

CORRECTLY

320

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In GP

A=5
Term (3)=ar^2=5r2=80
R^2=16
R=+-4
If r=4,term(4)=ar^3=5+(4^3)=320