Question

If 6 and 4374 are in GP , try to insert 5 terms between them.
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Answer 1

Answer:

Step-by-step explanation:

Let a = 7

t7 = ar^6 = 4374

dividing the two ar^6/a = 4374/6

                           r^6 = 729

r = 3

Now find ar, ar^2 , ar^3 , ar^4 , ar^5

with the values of a = 7, r - 3....

Answer 2

Answer:

±18, 54, ±162, 486, ±1458

Step-by-step explanation:

⇒ We will have to insert 5 terms between 6 and 4374 if they're in GP. So let first term a = 6 and seventh term ar⁶ = 4374.

⇒ Finding the common ratio,

• ar⁶ / a = 4374 / 6

• r⁶ = 729

• r = ⁶√729 = 729^(1/6)

• r = ± 3.

⇒ Inserting five terms...,

• ar = 6 × ±3 = ±18

• ar² = 6 × (±3)² = 54

• ar³ = 6 × (±3)³ = ±162

• ar⁴ = 6 × (±3)⁴ = 486

• ar⁵ = 6 × (±3)⁵ = ±1458

⇒ Thus you can insert either 18, 54, 162, 486, 1458 or -18, 54, -162, 486, -1458.