10th standard maths question part 1
Chapter 1
Arithmetic sequence
1) consider the arithmetic sequence 12,23,34......
a)what is the 10th term of the sequence?
b)Is 1111 a term of this sequence? Why?
2) first term of an arithematic sequence is 6 and the sum of the first 6 terms is 66.
a) what is it's 6th term?
b) what is the common difference of the sequence?
c) what are the first 6 term of this sequence?
3) The first time of an arithematic sequence is 6 and the common difference is 4.
a) what is the algebraic form of this sequence?
b)what is the algebraic expression to find the sum of the first n terms of this sequence?
c)How many terms of this sequence, starting from the first,are to be added to get 510?
4)a) write the first three terms of the sequence of natural numbers leaving reminder 1 on division by 5.
b)check whether 510 is a term of above sequence.
5) The first term of an arithematic sequence is 2 and the common difference is 4.
a) find the sum of the first ten terms of this sequence
b) find the sum of the ten terms from the second term to the eleventh term.
c) Is it possible that the sum of any consecutive ten terms of the sequence is 500?
6) a)write the arithematic sequence with first term 7 and common differences 3.
b) find the 21st term of the sequence.
7) The 11th term of an arithematic sequence is 58 and its 31st term is 158
a) find out the arithematic sequence.
b) write down the algebraic expression of the sequence
8) a) The algebraic expression of an arithematic sequence is 3n-5. write down the sequence
b) How many terms of the sequence from the first term is to be added to get the sum 530?
9) consider two arithmetic sequence with common difference 4 and difference between their 5th terms is 8
a) find the difference between the first terms.
b)find the difference between the sum of first 20 terms of the arithematic sequences
10)consider an arithematic sequence whose sum of first 9 terms is 261 and sum of next 6 terms is 444
a) find the first term and common difference
b) write the algebraic expression of the sequence.
c) write the algebraic expression of the sum of the sequence
Answer click here
Arithmetic sequence
1) consider the arithmetic sequence 12,23,34......
a)what is the 10th term of the sequence?
b)Is 1111 a term of this sequence? Why?
2) first term of an arithematic sequence is 6 and the sum of the first 6 terms is 66.
a) what is it's 6th term?
b) what is the common difference of the sequence?
c) what are the first 6 term of this sequence?
3) The first time of an arithematic sequence is 6 and the common difference is 4.
a) what is the algebraic form of this sequence?
b)what is the algebraic expression to find the sum of the first n terms of this sequence?
c)How many terms of this sequence, starting from the first,are to be added to get 510?
4)a) write the first three terms of the sequence of natural numbers leaving reminder 1 on division by 5.
b)check whether 510 is a term of above sequence.
5) The first term of an arithematic sequence is 2 and the common difference is 4.
a) find the sum of the first ten terms of this sequence
b) find the sum of the ten terms from the second term to the eleventh term.
c) Is it possible that the sum of any consecutive ten terms of the sequence is 500?
6) a)write the arithematic sequence with first term 7 and common differences 3.
b) find the 21st term of the sequence.
7) The 11th term of an arithematic sequence is 58 and its 31st term is 158
a) find out the arithematic sequence.
b) write down the algebraic expression of the sequence
8) a) The algebraic expression of an arithematic sequence is 3n-5. write down the sequence
b) How many terms of the sequence from the first term is to be added to get the sum 530?
9) consider two arithmetic sequence with common difference 4 and difference between their 5th terms is 8
a) find the difference between the first terms.
b)find the difference between the sum of first 20 terms of the arithematic sequences
10)consider an arithematic sequence whose sum of first 9 terms is 261 and sum of next 6 terms is 444
a) find the first term and common difference
b) write the algebraic expression of the sequence.
c) write the algebraic expression of the sum of the sequence
Answer click here
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