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Step-by-step explanation:
B(i)
see image
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B(iv)
Multiple of 3 between 1 to 15 are 3 6 9 12 15
Total number = 5
Total number of tickets = 15
Probability that a ticket drawn at random is a multiple of 3 = 5/15 = 1/3
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Given, A.P = 8, 13, 18, 23...
Here, a = 8; d = 5 and n = 13
\implies⟹ Now,
\implies⟹ a_{n} = a + (n - 1)da
n
=a+(n−1)d
\implies⟹ a_{13} = 8 + (13 - 1)5a
13
=8+(13−1)5
\implies⟹ a_{13} = 8 + (12)5a
13
=8+(12)5
\implies⟹ a_{13} = 8 + 60a
13
=8+60
\implies⟹ a_{13} = 68a
13
=68
Hence, the 13th term of the given A.P is 68.
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