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C. Choose the next term in the sequence 2, 5, 11, 20, 32,underline ( ) (a) 35 xI=(a)pi ,8=(A)pi (b) 38 (Bcap A)cap asaTT (c) 44 D 47

Pergunta

C. Choose the next term in the sequence
2, 5, 11, 20, 32,underline ( )
(a) 35
xI=(a)pi ,8=(A)pi 
(b) 38
(Bcap A)cap asaTT
(c) 44
D 47

C. Choose the next term in the sequence 2, 5, 11, 20, 32,underline ( ) (a) 35 xI=(a)pi ,8=(A)pi (b) 38 (Bcap A)cap asaTT (c) 44 D 47

Solução

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LuisElite · Tutor por 8 anos

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To find the next term in the sequence, we need to identify the pattern or rule that the sequence follows.<br /><br />Let's examine the differences between consecutive terms in the sequence:<br /><br />5 - 2 = 3<br />11 - 5 = 6<br />20 - 11 = 9<br />32 - 20 = 12<br /><br />We can see that the differences between consecutive terms are increasing by 3 each time. This suggests that the sequence is formed by adding an increasing odd number to the previous term.<br /><br />To find the next term in the sequence, we need to add the next odd number (which is 15) to the last term (32):<br /><br />32 + 15 = 47<br /><br />Therefore, the next term in the sequence is 47.<br /><br />So, the correct answer is (d) 47.
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