Question

The number of 593is a term of an Ap formed by the terms 5,9,13,is it true check it and find the number of this term

Answer 1

Answer:

Step-by-step explanation:

AP:5,9,13   a=5    d=4             593= 5+(n-1)4     593-5=4n-4     592/4 =n     n=148                                                                

Answer 2

Given :

• First term = 5
• Common difference = 9 - 5 = 4
• Last term = 584

To find :

• Number of terms in A.P

Solution :

By using A.P formula

$\tt \large A_n = a + (n - 1)d \\ \\ \tt \implies593 = 5 + (n - 1)4 \\ \\ \tt \implies593 - 5 = (n - 1)4 \\ \\ \tt \implies588 = (n - 1)4 \\ \\ \tt \implies \frac{588}{4} = n - 1 \\ \\ \tt \implies147 = n - 1 \\ \\ \tt \implies n = 147 + 1 \\ \\ \large \boxed{ \tt \green{n = 148}}$

Given number is 148th term of the A.P