How many multiples of 6 lie between 0 and 260
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6,12,18,24,30,36,42,48,54,60,66, 72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294,
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Answer:
AP is 6, 12, 18,.....,258.
first term = 6
difference = 6
Last term = 258
last term= first term + (number of terms - 1) × difference
258 = 6 + (n - 1) × 6
258 = 6 + 6n - 6
258/6 = n
43 = n
therefore, 43 multiples of 6 lie between 0 and 260.
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