# The second term of an arithmetic sequence is 24 and the fifth Is 3 find the first term and common difference. Showing the solution guys pls.

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also the number of terms from the second to the fifth term = (5-2) + 1 = 4

second step: use formula n term = a + (n-1)d where a

= first term & n = number of terms

thus 3 = 24 + ( 4-1)d

3 = 24 + 3d

3d = -21

d = -21/3 = - 7

answer: first term = 31 and common difference d = -7