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Determine the AP whose 5th term is 19 and the difference of the 8th term from the 13th term is 20. Then find its 4th term.

Class 10nth Term of an APAlgebra — Sequences

A15
B23
C11
D19

Step-by-Step Solution

a_{13} - a_{8} = 5 d = 20 \Rightarrow d = 4. a_{5} = a + 4 d = 19 \Rightarrow a + 16 = 19 \Rightarrow a = 3. a_{4} = a + 3 d = 3 + 12 = 15

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Answer: A) 15

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