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Standard X

Mathematics

Sequences, Series and Progressions

Identify the ...

Question

Identify the finite arithmetic sequence.

1 + 2 + 3 + 4 + 5 + . . . .

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1 + 3 + 5 + 7 + . . . . . + 21

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2 + 1 + 5 + 3 - 7 . . . . . + 30

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12 + 6 - 10 + 11

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Solution

The correct option is B $1 + 3 + 5 + 7 + . . . . . + 21$
The finite portion of an arithmetic progression is called a finite arithmetic progression.
Here $1 + 3 + 5 + 7 + . . . . + 21$ is a finite arithmetic sequence.
Since here the numbers are finite.

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$(i) 1 \div \frac{1}{3} (i i) 3 \div \frac{3}{5} (i i i) - \frac{5}{12} \div \frac{1}{16} (i v) - \frac{21}{16} \div (\frac{- 7}{8}) (v) 0 \div (- \frac{4}{7}) (v i) \frac{8}{- 5} \div \frac{24}{25} (v i i) - \frac{3}{4} \div (- 9) (v i i i) ‘ \frac{3}{4} \div (- \frac{5}{12}) (i x) - 5 \div (- \frac{10}{11}) (x) \frac{- 7}{11} \div (\frac{- 3}{44})$