$CATEGORY: Maths - TicTacLearn/5. Arithmetic progression/5. Arithmetic progression--nth Term of an AP

//Multiple Choice

If the first term of an AP is 3 and the common difference is 5, find the 10th term. {
~ 48
= 53
~ 50
~ 55
}

The 15th term of an AP is 37, the first term is 5, and the common difference is\: {
~ 3
= 2
~ 4
~ 1
}

For an AP, the nth term is an \=2n+1 . What is the 7th term? {
~ 13
~ 15
= 17
~ 19
}

The 25th term of an AP is given as a25 \=100 and a \= 4The common difference is\: {
~ 4
~ 2
= 5
~ 6
}

If the nth term of an AP is 5n−3, then the 12th term is\: {
~ 55
= 57
~ 60
~ 63
}

If the first term of an AP is 7 and the 12th term is 37, find the common difference\: {
~ 2.5
= 3
~ 4
~ 5
}

Which of the following is not an AP? {
~ 2, 4, 6, 8
~ 5, 7, 9, 11
= 3, 6, 12, 24
~ 1, 3, 5, 7
}

In an AP, the first term is 2, and the nth term is 32. If the common difference is 3, find n\: {
~ 10
= 12
~ 15
~ 20
}

//True or False

The nth term of an AP is always a+nd. {F}

If the common difference of an AP is zero, all terms of the AP are equal. {T}

The 1st term of an AP is also called the common difference. {F}

The formula for the nth term of an AP can be used to find any term of the sequence. {T}

In an AP, the nth term is independent of the common difference. {F}

//Numericals



//Fill in the blanks

The formula for the nth term of an AP is __________. {
= a+(n−1)d
~ a−(n−1)d
~ a⋅d+n
}

In an AP, if the first term is 5 and the 8th term is 33, the common difference is __________. {
= 4
~ 5
~ 6
}

The nth term of the AP 3,6,9,12,…….is __________. {
~ 2n+1
= 3n
~ 4n−1
}

The first term of an AP is 1, and the common difference is 2. The 10th term is __________. {
~ 20
= 19
~ 21
}

For the AP 7,14,21,……., the 15th term is __________. {
= 105
~ 112
~ 98
}



//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Formula for nth term -> a+(n−1)d
=Common difference in AP -> a2​−a1​
=First term in AP -> a1​
=Sequence is not an AP -> 3,6,12,24
}



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