Answer:
12
Step-by-step explanation:
A sequence is given and we need to find the term when it will become -24 . The given sequence is,
9 , 6 , 3 ,0 , . . . . .
Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .
⇒ T_n = a + (n-1)d
⇒ (-24) = 9 + (n-1)(-3)
⇒ -24-9 = (n-1)(-3)
⇒ (n-1) = -33/-3
⇒ n-1 = 11
⇒ n = 11 + 1
⇒ n = 12
Hence the required number of term is 12.
