important questions predicting what comes next: exploring sequences and progressions

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Virat

Asked: September 9, 2026In: Class 9 Maths

Find the 31st term of an AP whose 11th term is 38 and 16th term is 73.

Given a + 10d = 38 and a + 15d = 73, subtracting gives 5d = 35, so d = 7 and a = -32. Using tn = a + (n – 1)d, the 31st term is -32 + 30 ...