Question

253,248,243,…
Find the 43rd term

Answer 1

Answer:43

Explanation:

253,248,243,...

Find the 43rd term

Arithmetic Sequence.

Common Difference:

248

−

253

=

−

5

248−253=−5

243

−

248

=

−

5

243−248=−5

�

=

−

5

d=−5

Explicit Formula:

�

�

=

�

1

+

(

�

−

1

)

�

a

n

​

=a

1

​

+(n−1)d

�

43

=

253

+

(

42

)

(

−

5

)

a

43

​

=253+(42)(−5)

Plug in.

�

43

=

43

a

43

​

=43

Evaluate.

Your Solution:

43

43

Answer 2

43

Explanation:

253,248,243,.

this is an arithmetic progression

here

first term (a)=253

common difference (d)=248-253= -5

number of term (n)=43

Now using the formula nth term of arithmetic progression is

an=a+(n-1)d

a43=253+(43-1)(-5)

a43=253+(42)(-5)

a43=253-210

a43=43