19, 97, 162, 214, 253, ?
Explanation:
Let us calculate the difference between consecutive terms.
97 – 19 = 78 = 6 × 13
162 – 97 = 65 = 5 × 13
214 – 162 = 52 = 4 × 13
253 – 214 = 39 = 3 × 13
∴ ? – 253 = 2 × 13 = 26
⇒ ? = 253 + 26 = 279
Hence, option (b).
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