is 16 more than 12th term of an ap find the common difference of AP
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Which term is 16 more than 12 term
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16th term
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Hey ! It's easy see
According to question ,
a12 + 16 = a16....................1)
an = a1 + (n-1) d ( where n is position of term)
a12 = a1 + (12-1)d
a12 = a1 + 11d .................2)
Similarly,. a16 = a1 + (16-1)d
a16 = a1 + 15d.......................3)
Substitute 2) and 3) in 1)
a1 +11d + 16 = a1 + 15d
16 = a1 - a1 + 15d - 11d
16 = 15d - 11d
16 = 4d
16/4 = d
4 = d ........answer
I hope this helps!!!!
- penmighter
According to question ,
a12 + 16 = a16....................1)
an = a1 + (n-1) d ( where n is position of term)
a12 = a1 + (12-1)d
a12 = a1 + 11d .................2)
Similarly,. a16 = a1 + (16-1)d
a16 = a1 + 15d.......................3)
Substitute 2) and 3) in 1)
a1 +11d + 16 = a1 + 15d
16 = a1 - a1 + 15d - 11d
16 = 15d - 11d
16 = 4d
16/4 = d
4 = d ........answer
I hope this helps!!!!
- penmighter
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