Introduction to Sequences Worksheet | Nth Term & Recursive Formulas | Algebra 2

Arithmetic Sequences & Series Curriculum Bundle | Pre-Calculus Test Prep Packet

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. Master linear sequences and series calculations with this comprehensive worksheet pack. Perfect for Key Stage 4 and A-Level maths revision, homework, or exam prep covering explicit formulas and finite sums. Take the stress out of your upper-level maths units with this ready-to-print Arithmetic Sequences & Series Worksheet Bundle! From introductory pattern analysis to advanced simultaneous linear proofs, this rigorous collection is designed to build the deep conceptual understanding required for calculus and upper secondary exams. This comprehensive resource contains 3 standalone, multi-page student worksheets paired with complete, page-for-page teacher answer keys showing every single algebraic step. **What's Included in This Premium Pack?** • **Worksheet 1: Introduction to Sequences** (Pages 1-9) o Calculating the first 6 terms of explicit linear, quadratic, exponential, and fractional equations. o Graphing sequence coordinates on discrete coordinate planes. o Determining explicit nth term and recursive formula patterns from raw list values. • **Worksheet 2: Advanced Arithmetic Sequences** (Pages 10-17) o Tracking common differences and calculating specified high-value positions. o Solving simultaneous linear systems of equations to find parameters from non-consecutive terms. o Critical thinking tasks finding unknown values (x) in consecutive algebraic terms. • **Worksheet 3: Arithmetic Series & Summation** (Pages 18-28) o Direct formula applications for evaluating large series sums (Sn). o Working backward algebraically to solve for sequence boundaries (n). o Highly rigorous problems targeting complex combined structures (e.g., a7 + a8 = -57). **Perfect For:** • Key Stage 4 (KS4) Maths mastery and GCSE Higher tier revision • A-Level Core Maths, Pure Maths revision, and targeted homework packs • End-of-course exam preparation, mock revision, and formative assessments • Emergency cover lesson plans (simply print and hand out!) **File Information:** • Format: High-quality, print-ready PDF document (28 pages including fully worked solutions). ________________________________________