### Scholastic Aptitude Test - Mathematics - Arithmetic Progresstion

#### Question - 1

If the following numbers are AP,i.e. if they form an AP, find the common difference d and write three more terms
3,3+$\sqrt{2}$,3+2$\sqrt{2}$,3+3$\sqrt{2}$,...

• A $3+4\sqrt{2},3+5\sqrt{2},3+3\sqrt{2}$
• B $3+4\sqrt{2},3+5\sqrt{2},3+6\sqrt{2}$
• C $2+4\sqrt{2},2+5\sqrt{2},2+6\sqrt{2}$
• D none of these

#### Question - 2

Find the (i) nth term and (ii) 16th term of the AP 3, 5, 7, 9,11...

• A (2n+1),33
• B (3n+1),23
• C (2n+1),23
• D none of these

#### Question - 3

Find the 105th term of AP 4, $4\frac{1}{2},5,5\frac{1}{2},6, ....$

• A 65
• B 56
• C 66
• D none of these

#### Question - 4

How many terms are in AP 7,11,15, ........ 139?

• A 43
• B 24
• C 34
• D none of these

#### Question - 5

If the 8th term of an AP is 31 and its 15th tenn is 16 more than the 11th term, find the AP

• A 3,7,11,15,19,...
• B 3.5.7.11,...
• C 2. 3. 5. 7...
• D none of these

#### Question - 6

If the 8th term of an AP is zero. Prove that its 38th term is triple its 18th term

• A (3 x a)
• B 3 x T18
• C 3 x d
• D none of these

#### Question - 7

If m times the mth term of an AP is equal to n times the nth term and m ≠ n, then (m+n)th term is

• A 1
• B 2
• C 0
• D none of these

#### Question - 8

If the nth term of a progression has a linear expression in n, this progression is an AP if every terms of the given progression differs from its preceding term by

• A 1
• B constant
• C can't be determined
• D none of these

#### Question - 9

Find four numbers in AP whose sum is 20 and the sum of whose squares is 120

• A (2,4,5,8)
• B (3,4,5,6)
• C (2,4,6,8)
• D none of these

#### Question - 10

Find the sum of all two digit Positive numbers

• A 2375
• B 2475
• C 2575
• D none of these