Find the 54th term of the arithmetic sequence-7, -23, -39,

The 54th term in the given  sequence is - 855.

Step-by-step explanation:

Here, the terms of the sequence AP are :  -7 , - 23 , - 39

Here,  a2 - a1 = -23 - (-7) = -23 + 7 = -16

a3  - a2 = -39  - (-23)  = - 39 + 23 = -16

So, here the common difference(d)  of AP  = -16

and first term (a) = -7  , n = 54

Now, in any AP :

So, for n = 54 :  

                      = -7  + 53(-16)  

                      = -7 - 848 =  - 855

⇒a(54)  =  - 855

Hence, the 54th term in the given  sequence is - 855.

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step-by-step explanation:

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