Question

In the arithmetic sequence -7, -4, -1, 2, … which term is 44?

Answer 1

Answer:

here first term (a)=-7

and common difference (d)=-4-(-7)=-4+7=3

and last term (an)=44

and we know that

an=a+(n-1)d

44=-7+(n-1)3

51=3n-3

54=3n

n=18

so your answer was 18

hope it's help you

thanku

Answer 2

SOLUTION

TO DETERMINE

In the arithmetic sequence -7, -4, -1, 2, … which term is 44

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

EVALUATION

Here the given arithmetic sequence is

- 7, - 4, - 1, 2, …

First term = a = - 7

Common Difference = d = - 4 + 7 = 3

Let nth term of the sequence is 44

So by the given condition

$\displaystyle \sf{ a + ( n - 1 )d = 44}$

$\displaystyle \sf{ \implies - 7 + 3( n - 1 )= 44}$

$\displaystyle \sf{ \implies 3( n - 1 )=51}$

$\displaystyle \sf{ \implies ( n - 1 )=17}$

$\displaystyle \sf{ \implies n = 18}$

Hence 18th term of the sequence is 44

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