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FromTheMoon [43]
3 years ago
7

Find the oth term of the geometric sequence 9, -18, 36, ...

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

2304

Step-by-step explanation:

<u>Given :- </u>

  • A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

<u>Common Ratio :- </u>

:\implies CR = -18÷ 9 = -2

<u>The </u><u>9</u><u> th term :- </u>

:\implies T_n = arⁿ - ¹

:\implies T_9 = 9× (-2) ⁹ - ¹

:\implies T_9 = 9 × (-2)⁸

:\implies T_9 = 9 × 256

:\implies T_9 = 2304

<u>Hence the 10th term is </u><u>2</u><u>3</u><u>0</u><u>4</u><u>.</u>

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