Answer :

Answer:

131

Step-by-step explanation:

To find the value of g (26) in the given sequence, we can use the given formula g (n +1) = g (n) +6 to generate the terms of the sequence and then find the 26th term. The given formula states that the value of the n+1th term is equal to the value of the nth term plus 6. We can use this formula to generate the first few terms of the sequence:

g (1) = -25 (given)

g (2) = -25 + 6 = -19

g (3) = -19 + 6 = -13

g (4) = -13 + 6 = -7

g (5) = -7 + 6 = -1

We can see that the value of each term in the sequence is 6 greater than the value of the previous term. We can use this pattern to generate the 26th term in the sequence by adding 6 to the value of the 25th term:

g (26) = g (25) + 6

We can find the value of the 25th term by continuing to apply the formula g (n +1) = g (n) +6 to the previous terms in the sequence:

g (25) = g (24) + 6

= (g (23) + 6) + 6

= (g (22) + 6) + 6 + 6

= ...

= -25 + 6 * 25

= -25 + 150

= 125

Therefore, the value of the 26th term in the sequence is:

g (26) = g (25) + 6

= 125 + 6

= 131

This is the value of g (26) in the given sequence.

mhanifa

Answer:

  • (2) 125

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Given is an AP with:

  • The first term of - 25,
  • Common difference of 6.

Use the explicit rule to find the 26th term:

  • t(n) = t + (n - 1)d, where t- the first term and d - common difference
  • g(n) = - 25 + 6(n - 1) = - 25 + 6n - 6 = 6n - 31
  • g(26) = 6*26 - 31 = 156 - 31 = 125

Correct choice is (2).

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