Question

It's urgent, Please answer, Make Sure you Round it

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

460, 451,442

Find the 37th term.

Answer 1

Answer:

136

Step-by-step explanation:

This is an arithmetic sequence

The formula is an = a1 + f × (n-1)

n= the number we are trying to find = 37

a= the number in any given space on the sequence

a1= 460

f= the common difference between the numbers

f= -9 because you subtract 9 from each to get the number

a37= 460-9(37-1)

a37= 460-9(36)

a37= 460- 324

a37= 136

Answer 2

Given :

• The first three terms of a sequence are 460, 451, 442

To Find :

• 37th term of sequence = ?

Solution :

Clearly these three terms are making an arithmetic sequence, with :

• First term, a = 460
• Common difference, d = 451 - 460 = - 9

Now, we have to find 37th term of sequence = $\tt a_{37}$

Now, we know that :

$\large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}$

$\tt : \implies a_{37} = a + (37-1)d$

$\tt : \implies a_{37} = a + 36d$

Now, by substituting values of a and d :

$\tt : \implies a_{37} = 460 + 36 \times (-9)$

$\tt : \implies a_{37} = 460 - 324$

$\tt : \implies a_{37} = 136$

Hence, value of 37th term of given sequence is 136.