Slide 1 : ARITHETIC SEQUENCES
Arithmetic sequences : Arithmetic sequences
Slide 3 : State whether or not each sequence is arithmetic or not .If it is find the common difference
1)4,9,14,19,………….
2) 2, 4, 6, 8, 10…
3) -2, -4, -6, -8, -10…
4) -2, -1, 0, 1, 2…
Slide 4 : Find the general term of an arithmetic sequence. “The nth term of an arithmetic sequence
is an = a1 + (n – 1) d, where a1 is the first term and d is the common difference.”
Derivation of arithmetic sequence:
a1
a2 = a1 + d
a3 = a2 + d = (a1 + d ) + d = a1 + 2d
a4 = a3 + d = (a1 + 2d ) + d = a1 + 3d
Slide 5 : Find the 30th term of the sequence 120, 126, 132, 138,
Slide 6 :
Slide 7 :
Slide 8 :
Slide 9 :
Slide 10 :
Slide 11 :
Slide 12 : 1)Find the fifth term if t3=10and t7=26
Slide 13 : 3)Fjnd the 10th term if t1=2.1 and t4=1.83
Slide 14 : 2) Find the fifth term if t2=-5 and t6=7
Slide 15 : Find the nth term of the following
1)6,8,10,12,…………….
2)11,15,19,……..
Slide 16 : 3)17,22,27,………….
4)500,520,540.560,………….
5)100,105,110,115,……..
Slide 17 : Find three arithmetic mean between 5 and 7
Find four arithemeticmean between 40 and10
Slide 18 : 3)Find three arithmetic mean between 8.24 and2.8
4)Find 6 arithmetic mean between –23and5
Slide 19 : Find the number of terms of the following
1)The number of multiples of 4 between 4 and 224inclusive
2)Find the multiples of 5 between 5 and 355
3) Find the multiples of 7 between 7 and 644
Slide 20 :
Slide 21 : Find the s of the following Using the formula1)2+4+6+8+10
2) 5+13+21+29
3) 13+17+21+25
Slide 22 : 4)1 +2 +3+…….+11
5) 15+21+27+33+……+63
6) –100+(--96)+(--92) +(--88)
7)—50+(--47)+(--44) +(--41)
Slide 23 : Find the sum of he first 300 natural numbers
Find the sum of all even numbers from 2 to 200 inclusive
Slide 24 : 3) Find the sum of the multiples of 3 from 3 to 99 inclusive
4) Find the sum of multiples of 9 from 9 to 657 inclusive
Slide 25 : Find S25of the following
1)3+7+11+15+……..
2)4+14+24+34+……..
Slide 26 : 3)25+24+23+22+………..
4)100+200+300+400+……..
Slide 27 : Evaluate
1)? (15– 2m)
2)? (40 – 2k) M=1 5 K=1 10