An AP consists of 50 terms of which the 3rd term is 12 and the last term is 106.Find the 29th term.
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Answer:
Given Data: Total terms = 50
Third term = 12, last term = 106. Find 29th term:
Solution:
Step 1: AP Formula: Tn = a+(n-1)d
where a is the first term and n is the number of term need to find and d is the difference of two terms in the sequence.
Step 2: Find the difference : t50 - t3 = 106-12 =94. therefore, sum of 47 terms is 94 and the difference is 94/47 = 2;
Step 3: Find a. Since third term is 12 and the difference is 2 first term is 12-4 =8
Step 4: t29 = 8+(29-1)2 = 64 = answer
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