What is the 15th term of an A P whose 7th and 11th terms are 51 and 79 respectively - Maths - Introduction to Euclid\s Geometry

Question

What is the 15 th term of an A P
whose 7 th and 11 th
terms are 51 and 79 respectively?

Conan The Detective · Accepted Answer

a+6d = 51
a+10d= 79 (subtracting)
______________
-4d = -28
______________
=> d=7
a+6d = 51
a+(6*7) = 51
=> a= 9
therefore 15th term = a+14d
=> 9+(14*7)
=> 107
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What is the 15 th term of an A.P. whose 7 th and 11 th terms are 51 and 79 respectively?

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