Question

if GNPmp is 15000 and NNPfc is 14000 then depreciation equals to_ options are 1) ₹2000 2) ₹1000 3) no depreciation taking place 4) can not be determined​

Answer 1

Step 1: First of all we find the successive difference (first difference, second difference, third difference … so on).

Step 2: If first successive difference is in A.P, then general term can be taken as t

n

=an

2

+bn+c (i.e. consider t

n

as quadratic polynomial in the decreasing power of n with constants a,b,c ).

Step 3: If the second, third successive differences are in A.P, then t

n

=an

3

+bn

2

+cd+d for second successive difference in A.P and so on where a,b,c,d are constants whose order can be changed.

Step 4: If the first difference in step 1 is in G.P, then take t

n

=ar

n−1

+bn+c. Similarly if second, third difference are in G .P, then general terms are considered by t

n

=ar

n−1

+bn

2

+cn+d and t

n

=ar

n−1

+bn

3

+cn

2

+dn+e respectively where a,b,c,d,e… are constants whose orders can be changed.

Now consider the sequences

P:9,16,29,54,103,…

S:2,5,12,31,86,…

On the basis of above data (information) answer the following questions:The second order successive difference of sequences P and S are