7+d=19 is the answer
subtract 7 from each side d=19-7
d=12
Given:
The given arithmetic sequence is:

To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,

Here, the first term is -3. So,
.
The common difference is:



The recursive formula of an arithmetic sequence is:

Where, d is the common difference.
Putting
, we get

Therefore, the recursive formula of the given arithmetic sequence is
, where
.
Answer:

Step-by-step explanation:
Given the expression:

To find:
The expression of above complex number in standard form
.
Solution:
First of all, learn the concept of
(pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by
.
Value of
.
Now, let us consider the given expression:

So, the given expression in standard form is
.
Let us compare with standard form
so we get
.
The standard form of

is: 