Given the recursive formula for an arithmetic sequence find the common difference and the 52nd term

              Common difference(d)                  

(21)                   -10                                          -548

(22)                   -7                                          -323

(23)                    10                                           547

(24)                   -100                                       -5118

Step-by-step explanation:

Let the common difference be denoted by 'd'.

Also the nth difference of an arithmetic sequence is given by:

(21)

We are given a recursive formula as:

The first term is given by:

The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

The nth term of an arithmetic sequence is given by:

Here and .

Hence,

Hence,

(22)

The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here and .

Hence,

Hence,

(23)

The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here and .

Hence,

Hence,

(24)

The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here and .

Hence,

Hence,

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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step-by-step explanation: vsfdvsfvd