The number of terms common to the two A.P's 2.5, 8, 11, ..., 98 and 3, 8, 13, 18, 23,--, 198
A. 33
D. 6
B. 40
E. None of thes
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answer : option (E) none of these.
first AP sequence is ; 2 , 5 , 8, 11 , .... 98
first term, a₁ = 2 and common difference, d₁ = 3
2nd AP sequence is ; 3, 8, 13, 18, 23.... 198
first term, a₂ = 3 and common difference, d₂ = 5
common difference of common sequence is d₁d₂ = 3 × 5 = 15
and first common term is 8 as we can see.
common terms are ; 8, 23 , 38, 53, 68 , 83 , 98
here there are 7 common terms.
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Question 4 Which term of the A.P. 3, 8, 13, 18, … is 78?
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Answer:
7 is the ans kdkskskskksks
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