1.

Find the eighth term of the geometric sequence which the third term is 36 and the fifth term is 81 .​

Answer»

Answer:

The nth term of a GEOMETRIC sequence is given by

an = am×rn−m where:r = COMMON ratio

USE the formula above to SOLVE for r .

an = am×rn−m

a5 = a3×r5–3

a5 = a3×r2

81 = 36×r2

2.25 = r2

r = 1.5

Use again the formula to solve for the 8th term.

an = am×rn−m

a8 = a5×r8–5

a8 = 81×1.53

a8 = 81×1.53 = 273.375

Step-by-step explanation:

hope this help you



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