Find given the consecutive terms of an arithmetic progression:

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Find kk given the consecutive terms of an arithmetic progression: (1) 3232, kk, 33 (2) kk, 77, 1010 (3) kk, 2k−12k - 1, 1313 (4) kk, 2k+12k + 1, 8−k8 - k (5) 2k+72k + 7, 3k+53k + 5, 5k−45k - 4 (6) 2k+182k + 18, −2−k-2 - k, 2k+22k + 2 (7) kk, k2k^2, k2+6k^2 + 6 (8) 55, kk, k2−8k^2 - 8

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