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ICSE Class 10 Answered

The 6th term of am AP is 16 and 14th term is 32. Determine the 36th term.  
Asked by riasingh094 | 11 May, 2018, 04:57: PM
Expert Answer
According to the question,
t6 = 16
a + 5d = 16.......(i)
t14 = 32
a + 13d = 32.....(ii)
Solving (i) and (ii) we get a = 6 and d = 2
To find t36 we put a = 6 and d = 2 
t36 = a + 35d 
t36 = 6 + 35 × 2 = 76
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