Question

Find a formula for the nth term in this

Answer 1

The formula of nth term is  = 10 - 3n

What is AP?

• A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
• The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
• If the AP contains m phrases, then denotes the final term, which is given by:
• The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.

Acc to our question-

• For the nth term in an algebraic series
• U(n) = a + (n - 1)d
• the number of terms is n.
• The first term is a.
• d is the typical difference
• From the preceding sequence
• a = 7
• d = 4 - 7 = - 3
• The nth term's formula is
• U(n) = 7 + (n - 1)-3
• = 7 - 3n + 3
• The ultimate solution is
• = 10 - 3n

Hence,The formula of nth term is  = 10 - 3n

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