if nth term of an ap is (5n-2) find its first term and common difference. alao find its 19th term

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Solution

$a_{n} = 5 n - 2 For n = 1, a or a_{1} = 5 (1) - 2 = 3 n = 2, a or a_{2} = 5 (2) - 2 = 8 Common difference, d = a_{2} - a_{1} = 5 a_{19} = a + (n - 1) d = 3 + (19 - 1) (5) = 3 + (18) (5) = 3 + 90 = 93$

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if nth term of an ap is (5n-2) find its first term and common difference. alao find its 19th term

an=5n-2For n=1, a or a1=51-2=3n=2, a or a2=52-2=8Common difference, d=a2-a1=5a19=a+n-1d=3+19-15=3+185=3+90=93

$a_{n} = 5 n - 2 For n = 1, a or a_{1} = 5 (1) - 2 = 3 n = 2, a or a_{2} = 5 (2) - 2 = 8 Common difference, d = a_{2} - a_{1} = 5 a_{19} = a + (n - 1) d = 3 + (19 - 1) (5) = 3 + (18) (5) = 3 + 90 = 93$