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Serggg [28]
3 years ago
13

A sequence U1, U2,U3...... is defined by the relation Un +1 = 2Un +5. if U1 =2, find U1​

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0

Correct question:

a sequence U1, U2,U3...... is defined by the relation U_{n +1} = 2U_n +5. if U1 =2, find U2​ and U3

Answer:

U2 = 9

U3 = 23

Step-by-step explanation:

Given sequence;

U_{n +1} = 2U_n +5

U1 = 2

U2 = ?

U_{n +1} = 2U_n +5\\\\U_2 = 2(U_1) + 5\\\\U_2 = 2(2) + 5\\\\U_2 = 4 + 5\\\\U_2 = 9

Solving for U3;

U_3 = 2(U_2) + 5\\\\U_3 = 2(9) + 5\\\\U_3 = 18 + 5\\\\U_3 = 23

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