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Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t [#permalink]
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Midhilesh489 wrote:
I think that is M2 + M4 + M6 ?


Yes. Sorry . Fixed the tiny typo

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Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t [#permalink]
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OE


According to the information the sequence is Arithmetic Progression. Let us assume that ๐‘€1 = ๐‘Ž

๐‘€ 2 = ๐‘Ž + ๐‘‘

๐‘€3 = ๐‘Ž + 2๐‘‘ and so on where Mn = ๐‘Ž + (๐‘› โˆ’ 1)๐‘‘

So, the terms are:

๐‘Ž, ๐‘Ž + ๐‘‘ , ๐‘Ž + 2๐‘‘, ๐‘Ž + 3๐‘‘, ๐‘Ž + 4๐‘‘, ๐‘Ž + 5๐‘‘, ๐‘Ž + 6๐‘‘

Now, we can see that the sum of

Now, ๐‘€2 + ๐‘€4 + ๐‘€6 = ๐‘Ž + ๐‘‘, ๐‘Ž + 3๐‘‘, ๐‘Ž + 5๐‘‘,

48 = 3๐‘Ž + 9๐‘‘ โ†’ 16 = ๐‘Ž + 3๐‘‘

Therefore,
๐‘€1 + ๐‘€3 + ๐‘€5 + ๐‘€7 = ๐‘Ž , ๐‘Ž + 2๐‘‘, ๐‘Ž + 4๐‘‘, ๐‘Ž + 6d

= 4๐‘Ž + 12๐‘‘
= 4(๐‘Ž + 3๐‘‘)
= 4 ร— 16
= 64
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Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t [#permalink]
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Here succeeding means eg: m1= m2-d . Am I right?
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Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t [#permalink]
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Yes correct. That is the translation of words into math
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Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t [#permalink]
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Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t [#permalink]
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