Given that nth term of a sequence is Tn = 5n-3, find the 5th term...
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Answer:
To Find the 3rd term put the value of n=3 in tn
t3=12
To find the fifth term put n=5 in tn
t5=22
t5-t3=22-12=10
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SOLUTION
- Given
Nth term of sequence = Tn = 5n - 3
TO FIND 5th terms
put n = 1 we get, 5 - 3 = 2
put n = 2 we get, 10 - 3 = 7
put n = 3 we get, 15 - 3 = 12
put n = 4 we get, 20 - 3 = 17
- Then sequence is =
2,7,12,17........
- First term = a = 2
- Common difference = d = 7-2 = 5
5th term = T5 = a + 4d
2 + 4 (5)
2 + 20
22
Hence,
T5 term = 22 = ANSWER
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