Suppose a sequence is arithmetic.

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Suppose a sequence u1,u2,u3,u4,u5,u6,…u_1,u_2,u_3,u_4,u_5,u_6,\dots is arithmetic. (1) Show that u1+u2u_1+u_2, u3+u4u_3+u_4, u5+u6u_5+u_6, …\dots is also arithmetic. (2) Given that u2=5u_2=5 and u10=61u_{10}=61, find the 30th term of the sequence in (a).

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