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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Answer:
2) reflexive property
3) given
4) substitution postulate
5) substitution postulate
6) addition postulate
7) partition postulate
8) equal length line segments are congruent
9) SSS theorem
Step-by-step explanation:
Answer:
5x^3 + 16x - 2y^3
Step-by-step explanation:
7x + y^3 + 7x^3 + 6x - 3y^3 - 2x^3 + 3x
group like terms
= 7x^3 - 2x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 16x + y^3 - 3y^3
add similar items
= 5x^3 + 16x - 2y^3
Answer:
Step-by-step explanation:
<u>Given function</u>
<u>To find</u>
<u>Solution</u>
Substitute x with 3 in the equation to find f(3)
- f(3) = -4(3+3) = -4*6 = -24
Rule needed: i^2 = -1
Standard form a + bi
(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
2i * -5i = - 10i^2 = - 10 * -1 = 10
Putting it all back together.
31 - i
