The 13th term in the following arithmetic sequence 2,10,18,26 is 114
Arithmetic progression is the series of numbers that have common differences between adjacent values
Now the given sequence is,
2,10,18,26
So, common difference, d = 10 -2 = 8
and 1st term, a1 = 2
Thus, nth term of an arithmetic sequence is given as,
Tn = a1 + (n - 1)d
For 13th term put n = 13
⇒ T13 = 2 + (15 - 1)8
⇒ T13 = 2 + 14*8
⇒ T13 = 2 + 112
⇒ T13 = 114
Thus, the 13th term in the following arithmetic sequence 2,10,18,26 is 114
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The correct question is-
find the 13th term in the following arithmetic sequence 2,10,18,26.