Which term of an AP : 3,15,27....will be 156 more than its 54th term?
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67th term of an AP : 3,15,27....will be 156 more than its 54th term.
Step-by-step explanation:
an = 156 + a54
a + (n-1)d = 156 + a + 53d
(n-1)d = 156 + 53d. ( d = 15-3 = 12)
(n-1)12 = 156 + 53×12
12n -12 = 156 + 636
12n = 156 + 636 +12
12n = 804
n = 804/12
n = 67
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