MathDB
Sum of Terms in Sequence

Source:

February 11, 2009
geometric sequencearithmetic sequence

Problem Statement

Given a geometric sequence with the first term 0 \neq 0 and r0 r \neq 0 and an arithmetic sequence with the first term \equal{}0. A third sequence 1,1,2 1,1,2\ldots is formed by adding corresponding terms of the two given sequences. The sum of the first ten terms of the third sequence is: <spanclass=latexbold>(A)</span> 978<spanclass=latexbold>(B)</span> 557<spanclass=latexbold>(C)</span> 467<spanclass=latexbold>(D)</span> 1068<spanclass=latexbold>(E)</span> not possible to determine from the information given <span class='latex-bold'>(A)</span>\ 978 \qquad <span class='latex-bold'>(B)</span>\ 557 \qquad <span class='latex-bold'>(C)</span>\ 467 \qquad <span class='latex-bold'>(D)</span>\ 1068 \\ <span class='latex-bold'>(E)</span>\ \text{not possible to determine from the information given}