Answer:
11
Step-by-step explanation:
The first term of the geometric sequence is given to be a₀, the common ratio r and the (n+1)th term is aₙ.
Now, the condition is given a₀ =6.7, r=1.9 and aₙ=7804.8.
Therefore, a₀.rⁿ=7804.8 = aₙ
⇒ 6.7(1.9)ⁿ=7804.8
⇒(1.9)ⁿ =1164.89
Now, taking log both sides we get,
⇒n log (1.9) =log (1164.89)
⇒n =log (1164.89)/log(1.9) =10.9999≈11
Therefore, the value of n is 11.
