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The first term of an Arithmetic …

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The first term of an Arithmetic Progression is unity & the common difference is 4. Which of the following is a term of an AP. a. 7881. b. 13531. c. 10091. d. 4551. (Please explain by method??).

Posted by Paru ? 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Paru ? 5 years, 1 month ago

Thank you soo much ?✌?

1Thank You

Gaurav Seth 5 years, 1 month ago

first term of Ap=1
common difference=4
hence nth term (tn)=a+(n-1) d
only that number is ppossible in AP which gives integer value of n
now calculate n for each number,

(1) 7881=1+(n-1) 4
7880/4=1970=n
n gain integer value so , 7881 is In Ap

(2) 13531=1+(n-1) 4
13530/4=3382.5 =n
this is not possible

(3) 10091=1+(n-1) 4
10090/4=2522.5 =n
this is also not possible

(4) 4551=1+(n-1) d
4550/4=1137.5 =n
hence this is not possible

1Thank You

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