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प्रश्न
Find the 37th term of the AP 6 , 7 `3/4 , 9 1/2 , 11 1/4,.............`
उत्तर
The given AP is 6 , 7 `3/4 , 9 1/2 , 11 1/4,.............`
First term, a = 6 and common difference, d = 7`3/4 - 6 ⇒ 31/4 -6 ⇒ (31-24)/4 = 7/4`
Now , `T _37 = a + (37-1) d = a + 36 d`
= 6 +36 `xx 7/4 = 6 +63 = 69 `
∴ 37th term = 69
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