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AnnZ [28]
2 years ago
12

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

Mathematics
1 answer:
Anton [14]2 years ago
7 0

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

<h3><u>Hence </u><u>the</u><u> </u><u>requi</u><u>red</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>term</u><u> </u><u>is</u><u> </u><u>1</u><u>2</u><u>.</u></h3>
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