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Sequences and Series question

2006 · Shift 0 · Q74
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  5. /2006 · Shift 0 · Q74

Sequences and Series question

2006 · Shift 0 · Q74

JEE MainMathematicsSequences and SeriesMCQ+4 / −1
If a1,a2,....an{{a_1},{a_2},....{a_n}}a1​,a2​,....an​ are in H.P., then the expression a1 a2+ a2 a3 +....+an−1 an{{a_1}\,{a_2} + \,{a_2}\,{a_3}\, + .... + {a_{n - 1}}\,{a_n}}a1​a2​+a2​a3​+....+an−1​an​ is equal to
  1. A
    n(a1 −an)n({a_1}\, - {a_n})n(a1​−an​)
  2. B
    (n−1)(a1 −an)(n - 1)({a_1}\, - {a_n})(n−1)(a1​−an​)
  3. C
    na1ann{a_1}{a_n}na1​an​
  4. D
    (n−1)  a1an(n - 1)\,\,{a_1}{a_n}(n−1)a1​an​
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