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MATH / Find the value of a₂+a₄+a₆+a₈+…+a₉₈ if a₁,a₂,a₃,… is an arithmetic progression with common difference 1 and a₁+a₂+a₃+…+a₉₈=137.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find the value of a2+a4+a6+a8+…+a98a_2+a_4+a_6+a_8+\dots+a_{98} if a1,a2,a3,…a_1, a_2, a_3, \ldots is an arithmetic progression with common difference 11 and a1+a2+a3+…+a98=137.a_1+a_2+a_3+\dots+a_{98}=137.
Plain-text mathematical notation (without MathML)
Find the value of a₂+a₄+a₆+a₈+…+a₉₈ if a₁,a₂,a₃,… is an arithmetic progression with common difference 1 and a₁+a₂+a₃+…+a₉₈=137.
Original LaTeX notation
Find the value of $a_2+a_4+a_6+a_8+\dots+a_{98}$ if $a_1, a_2, a_3, \ldots$ is an arithmetic progression with common difference $1$ and \[a_1+a_2+a_3+\dots+a_{98}=137.\]

level

Level 5

type

Algebra

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Official source

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