Show that each of the progression given below is an AP. Find the first term, common difference and next term of each: (I) 9,15,21,27 (ii) 11,6,1,-4 (iii) -1,-5/ 6,-2/3,-1/2 (iv) root2 root8, root18,root32 (v) root20, root45, root80, root125
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Answer:1
9,15,21,27
d=15-9
=6
a=9
a⁵=a+4d
=9+4(6)
=9+24
33
Step-by-step explanation:
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2
Step-by-step explanation:
1. first term (a) = 9
common difference (d) = a2-a1
=15- 9 = 6
Next term,a5 = a +4d
=9+4×6 =33
2. a=11
d= 6-11 =-5
a5 = a+4d
=11+ 4×(-5) = -9
3. a=-1
d=-5/6+1 =1/6
a5 = a +4d
= -1+4×1/6 =-1/3
4.a=√2
d=√8-√2
=2√2-√2
=√2
a5 = a+4d
=√2+4×√2
=5√2
5. a= √20=2√5
d=√45-√20
=3√5-2√5
=√5
a5 =a+4d
=2√5+4√5
=6√5
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