Given the sequence 9,6,3,0,..., at what nth term will the number become -24?

​

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

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.