Q. {d(1)=121d(n)=d(n−1)⋅(−6)What is the 4th term in the sequence?
Identify First Term: Identify the first term of the sequence.The first term d(1) is given as 121.
Find Second Term: Use the recursive formula to find the second term.The recursive formula is d(n)=d(n−1)×(−6). To find the second term, we use the first term:d(2)=d(1)×(−6)=(121)×(−6)=−21.
Find Third Term: Use the recursive formula to find the third term.Now we use the second term to find the third term:d(3)=d(2)×(−6)=(−21)×(−6)=3.
Find Fourth Term: Use the recursive formula to find the fourth term.Using the third term to find the fourth term:d(4)=d(3)⋅(−6)=3⋅(−6)=−18.