ARITHMETIC SEQUENCE WORKSHEET SOLUTION1
Arithmetic sequence worksheet solution1 :
Here we are going to see solution of each questions from the arithmetic sequence worksheet.
(1) The first term of an A.P is 6 and the common difference is 5. Find the A.P and its general term
Solution :
First term = 6
Common difference = 5
a = 6
d = 5
General form of A.P is a , a + d , a + 2 d , …………….
6 , (6 + 5) , (6 + 2(5)) , …………..
6 , 11 , (6 + 10) ,……………….
Hence the required arithmetic progression is 6, 11, 16 , …………..
(2) Find the common difference and 15 th term of an A.P 125 , 120 ,115 , 110 , ……….….
Solution :
First term = 125
a = 125
Common difference = t2 – t1
= 120 – 125
= -5
General term of an A.P
(tn) = a + (n - 1) d
15th term of the A.P = 125 + (15 - 1) (-5)
= 125 + 14 (-5)
= 125 – 70
t₁₅ = 55
Hence, 15th term of A.P is 55
(3) Which term of the arithmetic sequence is 24, 23 ¼ ,22 ½, 21 ¾, ………. Is 3?
Solution :
First term = 24
a = 24
Common difference = t2 – t1
= 23 ¼ – 24
= (93/4) – 24
= (93-96)/4
d = -3/4
tn = a + (n - 1) d
Let us consider 3 as nth term
tn = 3
3 = 24 + (n-1) (-3/4)
3 – 24 = (n-1) (-3/4)
(-21 x 4)/(-3) = n -1
84/3 = n -1
28 = n – 1
28 + 1 = n
n = 29
Hence, 29th term of and A.P is 3.
(4) Find the 12th term of the A.P √2 , 3 √2 , 5 √2 , …………
Solution :
First term (a) = √2
Common difference (d) = 3 √2 - √2 = 2 √2
n = 12
General term of an A.P
tn = a + (n - 1) d
t₁₂ = √2 + (12 - 1) (2√2)
= √2 + 11 (2√2)
= √2 + 22 √2
= 23 √2
Hence, 12th of A.P is 23 √2
Related topics
- Arithmetic progression worksheet
- Arithmetic series worksheet
- Special series
- Sequence
- Arithmetic progression
- Arithmetic series
- Geometric progression
- Geometric series
After having gone through the stuff, we hope that the students would have understood "Arithmetic sequence worksheet solution1"
Apart from the stuff given above, if you want to know more about "Arithmetic sequence worksheet solution1", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
