8/17/2019 Supplementary Exercise1

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Arithmetic and Geometric Sequences

Supplementary Exercise 1

1. Write the next three terms of each of the following arithmetic sequences:a. 1, , !, "

#. $, %, , "c. &, !'%, ('%, "

). *ind the 11th term of the arithmetic sequence with +rst term and commondierence -).

. f the +rst term of an arithmetic sequence is / and the $th term is )0, +nd the(!th term.

/. Gien the arithmetic sequence -10, -%, -),", +nda. 2he !1st term#. 2he sum of the +rst !1 terms

!. Write the next terms of the following geometric sequence:a. 1, , $, "#. / ,), 1, "c. , -%, 1), "

%. *ind the seenth term of the geometric sequence with +rst term ! andcommon ratio -).

(. *ind the sum of the +rst ! terms of the geometric progression with the +rstterm / and common ratio -.

3. *ind the sum of the +rst six terms of the geometric sequence, 4, 1'3, 1'1%.