Sequences & Series
Sequences and Series
Grade None

Question:

<p>Check options for question content.</p>
<p>a; + 3a2- 3a3- ag =0</p>
<p>a1- 4a2 + 6a3- 4a, + as = 0 MSSO56 Let 0 < a < bsuch that 2, 2* - z 2* - 5 are harmonic mean, arithmetic mean and geometric mean Let a1, a2, a3 and b,,b,b3 be arithmetic progressions such that a, = 25, b, = 75 and of a, b respectively then which of the following option(s) is/are correct A190 + bio = 100. Then</p>
<p>number of possible values of x is 2</p>
<p>the difference between successive terms in progression 'a' is opposite of the difference in</p>

Step-by-Step Solution

Key Concept: Look for the progression structure before computing. The right formula usually appears only after the sequence is rewritten cleanly.
Notice that the important step is to identify which progression formula is actually relevant here. A clever move here is to rewrite the given information into a standard form before computing. Now, we invoke the power of the appropriate sequence identity, simplify carefully, and confirm the answer as \(A,C,D\).
Correct Answer: A,C,D

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