Question

Ap-=? a1=1 a16=76 answer the questions ​

Answer 1

I assume you are asking about an arithmetic progression (AP), where a1 is the first term and a16 is the 16th term.

To find the common difference (d) of the AP, we can use the formula:

a16 = a1 + (n - 1)d

where n is the number of terms between a1 and a16. In this case, n = 16 - 1 = 15.

Substituting the given values, we get:

76 = 1 + 15d

Solving for d, we get:

d = 5

Now that we know the common difference, we can find the nth term (an) of the AP using the formula:

an = a1 + (n - 1)d

Substituting n = 16 and d = 5, we get:

a16 = 1 + (16 - 1)5 = 80

Therefore, a16 = 80.

Note: It's not clear what the question is asking for when it says "Ap-=?". If you clarify, I can try to provide a more specific answer.

Answer 2

To find the common difference (d) of an arithmetic progression (AP) and the value of the nth term (an), we can use the following formulas:

an = a1 + (n - 1) * d

Given that a1 = 1 and a16 = 76, we can substitute these values into the formula to find the common difference:

a16 = a1 + (16 - 1) * d 76 = 1 + 15d

We can solve this equation to find the value of d:

15d = 76 - 1 15d = 75 d = 75 / 15 d = 5

So, the common difference (d) in this arithmetic progression is 5.

Now, we can find the value of the nth term (an) by substituting the values of a1 and d into the formula:

an = a1 + (n - 1) * d an = 1 + (n - 1) * 5 an = 1 + 5n - 5 an = 5n - 4

Therefore, the general formula for the nth term (an) in this arithmetic progression is an = 5n - 4.