For an A.P., t4=12 and its common difference d= -10, then find tn.
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Answer:
52 - 10n
Step-by-step explanation:
Given : For an A.P. t4 = 12, d = – 10
To Find : tn
Sol. tn = a + (n – 1) d
∴ t4 = a + (4 – 1) d
∴ 12 = a + 3 (– 10)
∴ a = 12 + 30
∴ a = 42
tn = a + (n – 1) d
∴ tn = 42 + (n – 1) (– 10)
∴ tn = 42 – 10n + 10
∴ tn = 52 – 10n
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