For each of the following sequences, write a formula for the general term. Then use the formula to find a20 1) 2,7,12,17... 2) 6,1,−1,9,... 3) a0=4, d=−0.3 4) a0=34, d=−14

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For each of the following sequences, write a formula for the general term. Then use the formula to find a20 1) 2,7,12,17... 2) 6,1,−1,9,... 3) a0=4, d=−0.3 4) a0=34, d=−14

komunidadO · Accepted Answer

We need to write the general term of the following sequences 1) Here a0=2, a1=7, a2=12, a3=17s˙ Notice that a1=a0+5, a2=a1+5,a3=a2+5 So here d=5 an=a0+d(n−1) So a20=2+5(20−1)=97 2) a0=6, a1=1, a2=−1, a3=−9s˙ Notice that the above is following the formula. an=an−1−(5+3(∑n=0n−1(−1)nn)) By the above formula the value of a20 can be found easily 3) a0=4, d=−0.3 So by an=a0+d(n−1) a20=4+(−0.3)(20−1)=−1.7 4) a0=34, d=−34 So by an=a0+d(n−1) a20=34+(−14)(20−1)=−4

For each of the following sequences, write a formula for

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