Question

If the 4th, 7th , 10th terms of an gp are p,q, r respectively then

Answer 1

Answer:

q² = pr

Step-by-step explanation:

Let First term = A and common ratio = R.

Tn = ARⁿ⁻¹.

T₄ = AR³ = p

T₇ = AR⁶ = q

T₁₀ = AR⁹ = r

(T₇)² = (AR⁶)² = A²R¹² = (AR³)(AR⁹) = T₄ * T₁₀

=> q² = pr

     

Answer 2

Answer:

q²=p×r

Step-by-step explanation:

4th term of a G.P is ar^3=p.......(1)

7th term of a G.P is ar^6=q.........(2)

10th term of a G.P is ar^9=r........(3)

now multiply (1) and (3)

ar^3 × ar^9 =a^2×r^12

= (ar^6)²

accirding to (2) ar^6 = q

∴ q²=p×r

hope it helps  ^_^