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Neko [114]
3 years ago
15

Find the 110th term for the following sequence 4, 9, 14, 19, 24,..

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

549

Step-by-step explanation:

<u>G</u><u>iven </u><u>:</u><u>-</u><u> </u>

  • A sequence 4 , 9 , 14 , ...

And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,

<u>Using</u><u> </u><u>formula</u><u> </u><u>:</u><u>-</u><u> </u>

:\implies T_n = a + ( n -1)d

:\implies T_n = 4 + (110-1)5

:\implies T_110 = 4 + 109*5

:\implies T_110 = 4 + 545

:\implies T_110 = 549 .

<u>Hence </u><u>the </u><u>1</u><u>1</u><u>0</u><u> </u><u>th </u><u>term </u><u>is </u><u>5</u><u>4</u><u>9</u><u> </u><u>.</u>

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<h2>✓ Simplifying Expressions</h2>

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