write the sequence by adding 3 with the multiple of 7 is 2000 a term of this arithemetic sequence
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Answer:
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The sequence after adding 3 to the the multiples of 7 is 10, 17, 24, 31, 38, 45 and 2000 does not exist in it.
Given:
Sequence of multiple of 7.
To Find:
The sequence by adding 3 to the multiples of 7 and to check if 2000 is a term in it.
Solution:
The sequence of multiple of 7 is 7, 14, 21, 28, 35, 42.. and so on
After adding 3 to each term we get 10, 17, 24, 31, 38, 45..... and so on.
Therefore, the sequence after adding 3 to the the multiples of 7 is 10, 17, 24, 31, 38, 45....
Now to check if 2000 is a term in this sequence we use the formula from A.P in which if n comes out to be natural number then 2000 exists in the sequence.
a' = a + (n-1)d
2000 = 10 + (n-1)3
1990 = (n-1)3
1990/3 is not a natural number therefore 2000 does not exists in the sequence.
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