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@AMANDEEP KAUR SEKHON  a1, a2, a3, …. is an A.P. and b1, b2, b3, …… is a G.P. Then the sequence  is said to be an arithmetic-geometric progression. The sum of infinite term is
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use the concept    Arithmetic mean of two numbers (AM) - - wherein It is to be noted that the sequence a, A, b, is in AP where, a and b are the two numbers.       Geometric mean of two numbers (GM) - - wherein It is to be noted that a,G,b are in GP and a,b are two non - zero numbers.     Harmonic mean (HM) of two numbers a and b - -     multiply and divide by...
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As we have learned

Sum of n terms of a GP -

- wherein

first term

common ratio

number of terms

Option 1)

This is correct

Option 2)

This is incorrect

Option 3)

This is incorrect

Option 4)

This is incorrect

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As we learnt in  General term of a GP -   - wherein first term common ratio    Let first term is a andcommon ratio is r then Also   put in Option 1) 7290 Incorrect Option Option 2) 320 correct Option Option 3) 640 Incorrect Option Option 4) 2430 Incorrect Option
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As we learnt in Sum of n terms of an AP - and Sum of n terms of an AP - wherein first term common difference number of terms   Arithmetic mean of n numbers -   - wherein are the n numbers    Let the AP is given   Now                    Series is   upto terms mean Option 1)  26.5 Incorrect option Option 2)  28 Incorrect option Option 3) 29.5 Correct option Option...
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As we learnt in

Common ratio of a GP (r) -

The ratio of two consecutive terms of a GP

- wherein

eg: in 2, 4, 8, 16, - - - - - - -

r = 2

and in 100, 10, 1, 1/10 - - - - - - -

r = 1/10

are in  G.P where   are Terms of an A.P

Let first term is a and common difference is d, and common ratio be r then

A = a+d

B = a+4d

C= a+8d

from (i) and (ii)

2a=16d

a=8d

Option 1) Incorrect option

Option 2) Correct option

Option 3) Incorrect option

Option 4) Incorrect option

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