Introduction to Sequences Worksheet (with solutions)

Sequences, Arithmetic Sequences and Arithmetic Series Worksheets (with solutions)

Three worksheets on sequences, arithmetic sequences and series. An introductory worksheet on sequences. The exercises require to find the first few terms or terms in specific positions of a sequence by using the nth term formula, find the position of a term in a sequence for which the nth term is known, find the nth term or the recursive formula of a sequence given its first few terms and graph a sequence given its nth term. A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a1 and d or its first few terms, find the first few terms of an arithmetic sequences or d or specific terms given 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of an arithmetic sequence and solve other (more advanced) problems on this topic. A worksheet on the sum of the terms of an arithmetic sequence or arithmetic series. The exercises require to find the sum of a number of terms of an arithmetic sequence given the first terms and the common difference, the first few terms of the sequence, to of the terms of the sequence (by solving a system of simultaneous equations), the first and the last term or the first term and the sum of two other terms. Detailed solutions are included.