(2) find the number of terms in the following series.4,7,10,....,148.
(3 Which term of the sequence- 7,-2,3,8...is 88. (4) Which term of the sequence 4,9,14,19,....is 99. (5)Prove that 20th term of sequence 4,9,14,19,....,99.
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Step-by-step explanation:
(2). a=4, d=7-4=3, an=148.
an=a+(n-1)d
148=4+(n-1)3
148-4=(n-1)3
144/3=n-1
48+1=49=n.
(3).a=-7, d=-2-(-7)=-2+7=5, an=88
88=-7+(n-1)5
88+7={n-1)5
95/5=n-1
19+1=20=n.
(4). a=4, d=9-4=5, an=99
99=4+(n-1)5
99-4=(n-1)5
95/5=n-1
19+1=20=n
(5).a=4,d=9-4=5, an=99, n=20
a20=99
=4+(20-1)5
=4+(19)5
=4+95=99.
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