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11, 15, 19,... Find the 46th term.
WILL GET BRAINLIEST!!!!!!!!​

Sagot :

Answer:

191

Step-by-step explanation:

the rule is +4 so 11+45*4=191 (45 is the number not including the first one)

191 is the answer

semsee45

Answer:

191

Step-by-step explanation:

First, determine if the sequence is arithmetic or geometric.

If it is arithmetic, the difference between consecutive terms is constant.

If it is geometric, the ratio between consecutive terms is constant.

[tex]\sf 11 \underset{+4}{\longrightarrow} 15 \underset{+4}{\longrightarrow} 19[/tex]

As we add 4 to each term to get the next term, this is an arithmetic sequence with common difference of 4.

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

  • [tex]a_n[/tex] is the nth term
  • a is the first term
  • d is the common difference between terms

Given:

  • a = 11
  • d = 4

Substituting the given values into the formula to find an equation for the nth term:

[tex]\implies a_n=11+(n-1)4[/tex]

[tex]\implies a_n=4n+7[/tex]

Therefore, to find the 46th term, substitute n = 46 into the equation:

[tex]\implies a_{46}=4(46)+7=191[/tex]

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