The 6th term of an ap is 6 and the 16th term is 14.find the first term and common different
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Step-by-step explanation:
6 the term of an ap is 6
14 th term is 14
tn= a +(n-1) d
t6= a +(6-1)d
t6=a +5d
t14 =a+(14-1)d
t14=a+13d
therefore,
a+13d=14 -a+5d=6
13d-5d=14-6
8d =8
d=8/8
d=1
common difference is 1 .
a+13d =14
a+13(1) =14
a+13=14
a=14-13
a=1
first term is 1 and common difference is also 1
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